SOLUTION: Probability Distribution
1. Decide whether the random variable is discrete or continuous.
a. The number of oil spills off the East Coast
b. The number of touchdowns in the 200
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Question 192516: Probability Distribution
1. Decide whether the random variable is discrete or continuous.
a. The number of oil spills off the East Coast
b. The number of touchdowns in the 2007 Super Bowl
c. The temperature in degrees Fahrenheit on December 31 in New York City
d. The blood pressure of Statistic student in a class one hour after the final exam
e. The age of the youngest student in an English grammar class
Binomial Probability
Find the indicated binomial probabilities. Round to the nearest 3 decimal places.
4. Hot Shot Battery manufactures batteries in batches of 15 with a defective rate of 10%
a. What is the probability that exactly 2 will be defective?
b. What is the probability that between 2 and 4 inclusive will be defective?
c. What is the probability that no batteries will be defective?
d. Find the mean
e. Find the variance 2
5. A Multiple-choice test has 15 questions with each having 4 possible answers with one correct. Assume a student answers every question.
a. What is the probability of getting exactly 5 correct answers?
b. What is the probability of getting less than 6 correct answers?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Probability Distribution
1. Decide whether the random variable is discrete or continuous.
a. The number of oil spills off the East Coast
discrete
--------------------
b. The number of touchdowns in the 2007 Super Bowl
discrete
--------------------
c. The temperature in degrees Fahrenheit on December 31 in New York City
continuous
--------------------
d. The blood pressure of Statistic student in a class one hour after the final exam
discrete
--------------------
e. The age of the youngest student in an English grammar class
discrete
------------------------
Binomial Probability
Find the indicated binomial probabilities. Round to the nearest 3 decimal places.
4. Hot Shot Battery manufactures batteries in batches of 15 with a defective rate of 10%
a. What is the probability that exactly 2 will be defective?
15C2(0.1)^2(0.9)^13 = 0.267
-------------------------------
b. What is the probability that between 2 and 4 inclusive will be defective?
binomcdf(15,0.1,4) - binomcdf(15,0.1,1) = 0.438
-------------------------------
c. What is the probability that no batteries will be defective?
(0.9)^15 = 0.206
-------------------------------
d. Find the mean
np = 15*0.1 = 1.5
-------------------------------
e. Find the variance 2
npq = 1.5*.9 = 1.35
-------------------------------
5. A Multiple-choice test has 15 questions with each having 4 possible answers with one correct. Assume a student answers every question.
a. What is the probability of getting exactly 5 correct answers?
15C5(1/4)^5(3/4)^10 = 0.165
-------------------------------
b. What is the probability of getting less than 6 correct answers?
binomcdf(15,0.25,5) = 0.852
===============================
Cheers,
Stan H.
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