3rd - boy - boy - boy boy - boy - girl boy - girl - boy boy - girl - girl girl - boy - boy girl - boy - girl girl - girl - boy girl - girl - girl 1st 2nd

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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78 and 79 solve both plz
To the right are the outcomes that are possible when a couple has three children. Assume that boys and girls are equally likely, so that the eight simple events are
equally likely. Find the probability that when a couple has three children, there are exactly 2 boys.
1st
2nd
3rd p
boy - boy - boy
boy - boy - girl
boy - girl - boy
boy - girl - girl
girl - boy - boy
girl - boy - girl
girl - girl - boy
girl - girl - girl
What is the probability of exactly 2 boys out of three children?
Type an integer or a simplified fraction.)
Transcribed Image Text:To the right are the outcomes that are possible when a couple has three children. Assume that boys and girls are equally likely, so that the eight simple events are equally likely. Find the probability that when a couple has three children, there are exactly 2 boys. 1st 2nd 3rd p boy - boy - boy boy - boy - girl boy - girl - boy boy - girl - girl girl - boy - boy girl - boy - girl girl - girl - boy girl - girl - girl What is the probability of exactly 2 boys out of three children? Type an integer or a simplified fraction.)
Use the population of {37, 29, 24, 13} of the amounts of caffeine (mg/12 oz) in four beverages. Assume that random samples of size n=2 are selected with replacement. Complete parts
(a) through (c) below.
a. After identifying the 16 different possible samples and finding the mean of each sample, construct a table representing the sampling distribution of the sample mean. In the table, values
of the sample mean that are the same have been combined.
Probability
Probability
37
25
33
24
30.5
21
29
18.5
26.5
13
(Type integers or fractions.)
b. Compare the mean of the population to the mean of the sampling distribution of the sample mean.
The mean of the population, is
the mean of the sample means,
(Round to two decimal places as needed.)
c. Do the sample means target the value of the population mean? In general, do sample means make good estimates of population means? Why or why not?
The sample means
V the population mean. In general, sample means
make good estimates of population means because the mean is
estimator.
Transcribed Image Text:Use the population of {37, 29, 24, 13} of the amounts of caffeine (mg/12 oz) in four beverages. Assume that random samples of size n=2 are selected with replacement. Complete parts (a) through (c) below. a. After identifying the 16 different possible samples and finding the mean of each sample, construct a table representing the sampling distribution of the sample mean. In the table, values of the sample mean that are the same have been combined. Probability Probability 37 25 33 24 30.5 21 29 18.5 26.5 13 (Type integers or fractions.) b. Compare the mean of the population to the mean of the sampling distribution of the sample mean. The mean of the population, is the mean of the sample means, (Round to two decimal places as needed.) c. Do the sample means target the value of the population mean? In general, do sample means make good estimates of population means? Why or why not? The sample means V the population mean. In general, sample means make good estimates of population means because the mean is estimator.
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