SOLUTION: ***Could someone explain to me how to solve these problems! This is an online class and I am not getting much help from the Professor!" Thanks***
(1) A fair quarter is flipp
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-> SOLUTION: ***Could someone explain to me how to solve these problems! This is an online class and I am not getting much help from the Professor!" Thanks***
(1) A fair quarter is flipp
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Question 634161: ***Could someone explain to me how to solve these problems! This is an online class and I am not getting much help from the Professor!" Thanks***
(1) A fair quarter is flipped three times. For each of the following probabilities, use the formula for the binomial distribution and a calculator to compute the requested probability. Next, look up the probability in the binomial probability distribution table. (Enter your answers to three decimal places.)
(a) Find the probability of getting exactly three heads. = ________
(b) Find the probability of getting exactly two heads. = ________
(c) Find the probability of getting two or more heads. = ________
(d) Find the probability of getting exactly three tails. = _______
(2) The one-time fling! Have you ever purchased an article of clothing (dress, sports jacket, etc.), worn the item once to a party, and then returned the purchase? This is called a one-time fling. About 20% of all adults deliberately do a one-time fling and feel no guilt about it! In a group of six adult friends, what is the probability of the following? (Round your answers to three decimal places.)
(a) no one has done a one-time fling = ________
(b) at least one person has done a one-time fling = ________
(c) no more than two people have done a one-time fling = ________
(3) What percentage of the area under the normal curve lies between μ − σ and μ + σ?
What percentage of the area under the normal curve lies between μ − 3σ and μ + 3σ?
(4) Sketch the area under the standard normal curve over the indicated interval and find the specified area. (Round your answer to four decimal places.)
The area between z = −2.18and z = 1.37 is ________
(5) Let z be a random variable with a standard normal distribution. Find the indicated probability. (Round your answer to four decimal places.)
P(−1.25 ≤ z ≤ 2.40) = ________
(6) Assume that x has a normal distribution with the specified mean and standard deviation. Find the indicated probability. (Round your answer to four decimal places.)
μ = 4.4; σ = 2.3
P(3 ≤ x ≤ 6) = ________
(7) Assume that x has a normal distribution with the specified mean and standard deviation. Find the indicated probability. (Round your answer to four decimal places.)
μ = 29; σ = 3.9
P(x ≥ 30) = ________
(8) Find z such that 68% of the standard normal curve lies to the right of z. (Round your answer to two decimal places.)
z = ________
(9) Total plasma volume is important in determining the required plasma component in blood replacement therapy for a person undergoing surgery. Plasma volume is influenced by the overall health and physical activity of an individual. Suppose that a random sample of 50 male firefighters are tested and that they have a plasma volume sample mean of x = 37.5 ml/kg (milliliters plasma per kilogram body weight). Assume that σ = 7.80 ml/kg for the distribution of blood plasma.
(a) Find a 99% confidence interval for the population mean blood plasma volume in male firefighters. What is the margin of error? (Round your answers to two decimal places.)
lower limit = ________
upper limit = ________
margin of error = ________
(10) For this problem, carry at least four digits after the decimal in your calculations. Answers may vary slightly due to rounding.
A random sample of 5427 physicians in Colorado showed that 3062 provided at least some charity care (i.e., treated poor people at no cost).
(a) Let p represent the proportion of all Colorado physicians who provide some charity care. Find a point estimate for p. (Round your answer to four decimal places.) = 0.5642
(b) Find a 99% confidence interval for p. (Round your answers to three decimal places.)
lower limit = ________
upper limit = ________
Hi,
Oh dear...
1) and 2) are ex of Biomonial Probability: P = nCx*
p = 1/2 and q = 1/2
1a.
1b.
1c.
1d.
2a. p = .20 and q = .80
2b. P(x≥ 1) = 1 - P(0)
3b. P(no more than two) = 1- P(3) = 1 - (.20)^6
As to 3 - 8, these are ex of normal distribution:
recommend finding P(z value) as needed using NORMSDIST Excel function
For the normal distribution:
one standard deviation from the mean accounts for about 68.2% of the set
two standard deviations from the mean account for about 95.4%
and three standard deviations from the mean account for about 99.7%.
Important to Understand z -values as they relate to the Standard Normal curve:
Below: z = 0, z = ± 1, z= ±2 , z= ±3 are plotted.
Note: z = 0 (x value the mean) 50% of the area under the curve is to the left and 50% to the right
