1. Assignment for Chapter 6 (Probability) A first-grade class consists of 9 boys and 14 girls. If the teacher selects names from the class list using random sampling: a. b. What is the probability that the first student selected will be a boy? If a random sample of n = 5 students is selected and the first four selected are girls, what is the probability that the fifth student selected will be a girl? Find each of the following probabilities for a normal distribution. 2. a. p(z > 1.20) b. p(z > -0.70) C. p(z <0.85) d. p(z < -1.30) 3. A normal distribution has a mean of μ = 50 and a standard deviation of σ = 10. For each of the following scores, indicate whether the tail is to the right or left of the score and find the proportion of the distribution located in the tail. a. X = 40 b. X = 48 C. X = 65 d. X = 70 4. Assume that the average American consumer consumes 150 mg of caffeine daily. Assuming that the distribution is approximately normal with a standard deviation of σ = 75, find each of the following values. What percent of people consume more than 200 mg of caffeine a day? a. b. What percent of people consume more than 100 mg of caffeine a day? C. How much daily caffeine intake corresponds to the top 5% of the population? 5. A city averages u = 35 inches of annual precipitation. Assume that the distribution of precipitation amounts is approximately normal with a standard deviation of σ = 10 inches. For each of the following, report the z-score and state whether it represents a fairly typical year, an extremely wet year, or an extremely dry year. a. Annual precipitation of 37 inches. b. Annual precipitation of 15 inches.

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1.
Assignment for Chapter 6 (Probability)
A first-grade class consists of 9 boys and 14 girls. If the teacher selects names from the class list
using random sampling:
a.
b.
What is the probability that the first student selected will be a boy?
If a random sample of n = 5 students is selected and the first four selected are girls,
what is the probability that the fifth student selected will be a girl?
Find each of the following probabilities for a normal distribution.
2.
a.
p(z > 1.20)
b.
p(z > -0.70)
C.
p(z <0.85)
d.
p(z < -1.30)
3.
A normal distribution has a mean of μ = 50 and a standard deviation of σ = 10. For each of the
following scores, indicate whether the tail is to the right or left of the score and find the
proportion of the distribution located in the tail.
a.
X = 40
b.
X = 48
C.
X = 65
d.
X = 70
4.
Assume that the average American consumer consumes 150 mg of caffeine daily. Assuming that
the distribution is approximately normal with a standard deviation of σ = 75, find each of the
following values.
What percent of people consume more than 200 mg of caffeine a day?
a.
b.
What percent of people consume more than 100 mg of caffeine a day?
C.
How much daily caffeine intake corresponds to the top 5% of the population?
5.
A city averages u = 35 inches of annual precipitation. Assume that the distribution of
precipitation amounts is approximately normal with a standard deviation of σ = 10 inches. For
each of the following, report the z-score and state whether it represents a fairly typical year, an
extremely wet year, or an extremely dry year.
a.
Annual precipitation of 37 inches.
b.
Annual precipitation of 15 inches.
Transcribed Image Text:1. Assignment for Chapter 6 (Probability) A first-grade class consists of 9 boys and 14 girls. If the teacher selects names from the class list using random sampling: a. b. What is the probability that the first student selected will be a boy? If a random sample of n = 5 students is selected and the first four selected are girls, what is the probability that the fifth student selected will be a girl? Find each of the following probabilities for a normal distribution. 2. a. p(z > 1.20) b. p(z > -0.70) C. p(z <0.85) d. p(z < -1.30) 3. A normal distribution has a mean of μ = 50 and a standard deviation of σ = 10. For each of the following scores, indicate whether the tail is to the right or left of the score and find the proportion of the distribution located in the tail. a. X = 40 b. X = 48 C. X = 65 d. X = 70 4. Assume that the average American consumer consumes 150 mg of caffeine daily. Assuming that the distribution is approximately normal with a standard deviation of σ = 75, find each of the following values. What percent of people consume more than 200 mg of caffeine a day? a. b. What percent of people consume more than 100 mg of caffeine a day? C. How much daily caffeine intake corresponds to the top 5% of the population? 5. A city averages u = 35 inches of annual precipitation. Assume that the distribution of precipitation amounts is approximately normal with a standard deviation of σ = 10 inches. For each of the following, report the z-score and state whether it represents a fairly typical year, an extremely wet year, or an extremely dry year. a. Annual precipitation of 37 inches. b. Annual precipitation of 15 inches.
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