Questions on Normal Probability Models. Probability and area under the curve answered by real tutors!

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Question 929341: Suppose 2% of the eggs produced by a livestock farm is defective. Find the probability that there are 3 defective eggs in a sample of 100
Click here to see answer by ewatrrr(24785)

Question 930002: 1. A tire company finds the lifespan for one brand of its tires is normally distributed with a mean of 49,900 miles and a standard deviation of 6000 miles. If the manufacturer is willing to replace less than 10% of the tires, what should be the approximate number of miles for a warranty?
59,770
42,220
40,030
None of the above
57,580

Click here to see answer by ewatrrr(24785)

Question 951460: A fair six sided die is rolled four times in a row. What is the probability that the die will come up six at least once? Enter your answer as a percent rounded to the nearest hundredth.
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Question 955369: You have a 6 digit code. The number options for each digit are 1 through 6. Each number can be repeated. How many options for the code do you have?
Click here to see answer by Fombitz(32388)

Question 962250: An open rectangular box with square base and open top is to contain 1000cm^3.Find the dimensions that require the least amount of material.Neglect the thickness of the material and waste in construction.(Hint:Here we are looking at surface area)
Help me.
Style.
Click here to see answer by ankor@dixie-net.com(22740)

Question 964277: I have a total sum matter of 966 and I only have these numbers to use 9. 8. 9. 3. 2. 6 would appreciate the help in finding the right order to make up the sum kind regards
Click here to see answer by Alan3354(69443)

Question 970604: There were three candidates for the position of the chairman of a college Mr. X, Mr. Y and Mr. Z whose chances of getting appointments are in
the ratio 4:2:3 respectively. The probability that Mr. X if selected would introduce computer education in the college is 0.3. The probabilities of Mr. Y and Mr. Z doing the same are 0.5 and 0.8 respectively. What is the
probability that there was computer education in the college?

Click here to see answer by reviewermath(1029)

Question 972295: a box of 80 candles consists of 30 defective and 50 non defective candles.if 10 of these candles are selected at random without replacement what is the probability of all will be defective?
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Question 972706: Parking in a student lot costs $1 for the first half hour and $1.25 for each hour. A partial hour is charged the same as a full hour. What is the longest time that a student can park for $10?
Click here to see answer by josmiceli(19441)

Question 977985: There are 27 tasks available.
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Question 977983: There are 27 tasks available.
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Question 978937: Find the critical value Zơ/2 that corresponds to ơ=0.06
Zơ/2 =
Round to two decimal places as needed.
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Question 978937: Find the critical value Zơ/2 that corresponds to ơ=0.06
Zơ/2 =
Round to two decimal places as needed.
Click here to see answer by kmarcus1(4)

Question 978934: Women have head circumferences that are normally distributed with a mean given by �=22.46in, and a standard deviation given by ơ=0.6in.
1. If a hat company produces women's hats so that they fit head circumferences between 21.8in and 22.8 in., what is the probability that a randomly selected women will be able to fit into one of these hats?

Click here to see answer by Fombitz(32388)

Question 987499: Out of 400 little plastic eggs in a barrel, 75 each contain a small diamond, and the rest each contain a small piece of cut glass.
Out of the 400 eggs, 250 are painted red, and 150 are painted blue.
Out of the 75 eggs with diamonds, 45 are painted red, and 30 are painted blue.
You're allowed to take 10 eggs out of the barrel.
Which combination of eggs should you take, to get as many diamonds as possible?
Click here to see answer by Boreal(15235)

Question 993636: for a normal distribution problem, I know the formula to find a z-score includes the known standard deviation---but how do I solve for finding a standard deviation if my only known numbers are the z-score and the number it corresponds to? I.E. A score that is 12 points above the mean corresponds to a z-score of 2. What is the standard deviation? I took 12/2=6. solving 6 as my standard deviation but not sure if correct formula

Click here to see answer by stanbon(75887)

Question 995372: Flow baked 12 buttermilk pancakes, 15 blueberry pancakes . How many banana pancakes does she need to bake to have the odds of picking a banana pancake 1/10
I think the answer is three but I can't explain why

Click here to see answer by jim_thompson5910(35256)

Question 995709: An rectangular container of 36cm length,24cm width and 48cm height is 5/6 filled with orange juice. How much more orange juice is needed to fill it full?give the answer in cm3

Click here to see answer by josgarithmetic(39617)

Question 1001031: A farmer has chickens and goats,with at least one of each. The chickens and goats together have a total of 100 legs. (4 legs per goat and 2 legs per chicken) How many different combinations of chickens and goats could there be? Sorry for not knowing the right category. But all I have so far is 4x+2y=100
Click here to see answer by Edwin McCravy(20056)

Question 1004114: P(6, 6) = ___
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Question 1007126: Mark has pairs of pants in three different colors, blue, black, and brown. He has 5 colored shirts: a white, a red, a yellow, a blue, and a mixed-colored shirt. What is the probability that mark wears a black pairs of pants and a red shirt on a given day?
Click here to see answer by fractalier(6550)

Question 1020204: Suppose Z is a standard normal random variable.
Question 1:If P(-z < Z < z) = 0.7498, find z.(round 4 decimal places)

Question 2:Find P( -1.87 < Z < -0.98).(round 4 decimal places)
Click here to see answer by Fombitz(32388)

Question 1021583: A computer repair person is �beeped� each time there is a call for service. The number of beeps per hour has a Poisson distribution with mean 2 beeps per hour. Calculate the probability that there will be:
i. At least two beeps in an hour.
ii. One beep in next three hours.
iii. No beep in 45 minutes.

Click here to see answer by robertb(5830)

Question 1021585: Given the function
f(x)=4x3, Explain how you can generate random numbers from this function using the inverse transform method
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Question 1021692: is this a normal distribution or sampling distribution question? and then how do you solve it?
The state of California has a mean annual rainfall of 27.6 inches, whereas the state of New York has a mean annual rainfall of 48.7 inches. Assume the standard deviation for California is 4.9 inches and for New York is 3.1 inches. Find the probability that, for a sample of 35 years of rainfall for California, the mean annual rainfall is at least 29 inches. (answer rounded 4 decimal places)
p(z=>29inches)
Click here to see answer by robertb(5830)

Question 1024276: from an inventory of 18 tractors being shipped to local automobile dealers, 6 have had defective engine installed. what is the probability that one particular dealership receving 10 tractors get 4 with defective engines.
email
vpnkumar890@gmail.com
Click here to see answer by Fombitz(32388)

Question 1026649: The Company A has recently signed a purchase agreement with company B to acquire 100 percent interest for $20 Million. Assume that the voting power is only limited to a few trusted shareholders, the decision require a simple majority of the 7 decision-making shareholders. If each is believed to have a 0.35 probability of voting yes on the purchase, what is the probability that will be purchased by Company A?
Click here to see answer by ikleyn(52786)

Question 1027610: 15. A number cube labeled with the numbers 1 through 6 is rolled 50 times, and the relative frequencies were recorded in the table. Determine the frequency of each outcome in the experiment. Then, use the numbers from the box below to complete that column in the table.

5 6 7 8 9 10 11 12

Number Frequency Relative Frequency
1 9/50

2 6/25

3 1/5
4 4/25
5 1/10
6 3/25

Click here to see answer by Fombitz(32388)

Question 1030759: if the US federal reserve hikes interest rates in the us how will it impact indian market?

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Question 1037710: To have a z score of 2 on the test, what score
do you need if the mean must be 66% and
standard deviation to be 12%
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Question 1037709: To be the top 3% of the
class, what score do
you need if the mean must be 70% and standard
deviation to be 7%
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Question 1037716: To be the top 3% of the
class, what score do
you need if the mean must be 70% and standard
deviation to be 7%
Click here to see answer by solver91311(24713)

Question 1039002: The area under the density curve that is less than 6 points or greater than 8 points is 0.7857. If there are 28 students in the class how many students got between 6 and 8 points?
Click here to see answer by Theo(13342)

Question 1041384: A probability experiment consists of rolling a 6-sided die. Find the probability of the event below.
Rolling a number less than 3
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Question 1041382: The access code for a car's security system consists of five digits. The first digit cannot be 3 and the last digit must be even. How many different codes are available?
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Question 1041385: Determine whether the following statement is true or false. If it is false, rewrite it as a true statement.
If two events are independent, P(A|B)= P(B).
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Question 1041396: The access code for a car's security system consists of four digits. The first digit cannot be 9 and the last digit must be even. How many different codes are available?
Click here to see answer by jorel555(1290)

Question 1041391: In the general population, one woman in ten will develop breast cancer. Research has shown that 1 women in 550 carries a mutation of the BRCA gene. Nine out of 10 women with this mutation develop breast cancer.
A) Find the probability that a randomly selected women will develop breast cancer given that she has a mutation of the BRCA gene. Round to one decimal place as needed.
Click here to see answer by Boreal(15235)

Question 1041573: Outside a home, there is a 10-key keypad with letters A,B,C,D,E,F,G,H,I and J that can be used to open the garage if the correct ten-letter code is entered. Each key may be used only once. How many codes are possible?
Click here to see answer by Alan3354(69443)

Question 1041575: A standard deck of cards contains 52 cards. One card is selected from the deck.
A) Compute the probability of randomly selecting a club or heart
B) Compute the probability of randomly selecting a club or heart or diamond
C) Compute the probability of randomly selecting a seven or diamond
Click here to see answer by Fombitz(32388)

Question 1041571: A horse race has 12 entries and one person owns 3 of those horses. Assuming that there are no ties, what is the probability that those three horses finish first, second and third (regardless of order)?
Click here to see answer by robertb(5830)

Question 1044547: During the cold season,the sun is visible 25% of the time .The probability that the class of mathematicians enjoys a lesson is 70% when the sun is visible and only enjoys a lesson 30% when it is cloudy.What is the probability that the mathematicians will enjoy a lesson on a given cold day?
Click here to see answer by robertb(5830)

Question 1046177: A man owns a house in town and a cabin in the mountains. The probability of the house being burglarized is 0.18 and the probability of the cabin being burglarized is 0.27. What is the probability that (rounded off to three decimals):
a) Both homes will be burglarized
b) Neither homes will be burglarized

Click here to see answer by robertb(5830)

Question 1047065: The prostate-specific antigen (PSA) test is a simple blood test to screen for prostate cancer. It has been used in men over 50 as a routine part of a physical exam, with levels above 4 ng/mL indicating possible prostate cancer. The test result is not always correct, sometimes indicating prostate cancer when it is not present and often missing prostate cancer that is present. Suppose that these are the approximate conditional probabilities of a positive (above 4 ng/ml) and negative test result given cancer is present or absent.
Test Result
Positive Negative
Cancer Present 0.21 0.79
Cancer Absent 0.06 0.94
Draw a tree diagram for selecting a person from this population (outcomes: cancer present or absent) and testing his blood (outcomes: test positive or negative).
Suppose that 6.4% of the population has prostate cancer. What is the probability that a person does not have cancer, given that the PSA test is positive? This is the false-positive rate. (Round your answer to five decimal places.)
P =

Click here to see answer by Boreal(15235)

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