Find the area of the shaded region. The graph depicts the standard normal distribution (z) with mean 0 and standard deviation 1. Round to the nearest tenth. 7) 7) -3.39 -2.26 -1.13 1.13 2.26 3.39

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Find the area of the shaded region. The graph depicts the standard normal distribution (z) with mean 0 and standard
deviation 1. Round to the nearest tenth.
7)
7)
-3.39 -2.26 -1.13
1.13
2.26
3.39
2
8) Suppose that weight of adolescents is being studied by a health organization and that the
accompanying tables describes the probability distribution for three randomly selected
adolescents, where x is the number who are considered morbidly obese.
8)
P(x)
0.111
1
0.215
2
3
0.224
Find P( x>1).
Sketch and label a normal curve with the given information. Then, solve the problem. Round to the nearest tenth.
9) Suppose that replacement times for washing machines are normally distributed with a
mean of 8.4 years and a standard deviation of 2 years. Find the replacement time that
separates the top 18% from the bottom 82%.
9)
Fill in the probability distribution table and find the expected value.
10) A 28-year-old man pays $181 for a one-year life insurance policy with coverage of
$150,000. If the probability that he will live through the year is 0.9994, what is the expected
value for the insurance policy?
10)
X
P(x)
Transcribed Image Text:Find the area of the shaded region. The graph depicts the standard normal distribution (z) with mean 0 and standard deviation 1. Round to the nearest tenth. 7) 7) -3.39 -2.26 -1.13 1.13 2.26 3.39 2 8) Suppose that weight of adolescents is being studied by a health organization and that the accompanying tables describes the probability distribution for three randomly selected adolescents, where x is the number who are considered morbidly obese. 8) P(x) 0.111 1 0.215 2 3 0.224 Find P( x>1). Sketch and label a normal curve with the given information. Then, solve the problem. Round to the nearest tenth. 9) Suppose that replacement times for washing machines are normally distributed with a mean of 8.4 years and a standard deviation of 2 years. Find the replacement time that separates the top 18% from the bottom 82%. 9) Fill in the probability distribution table and find the expected value. 10) A 28-year-old man pays $181 for a one-year life insurance policy with coverage of $150,000. If the probability that he will live through the year is 0.9994, what is the expected value for the insurance policy? 10) X P(x)
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