Stress at work: In a poll conducted by the General Social Survey, 80% of respondents said that their jobs were sometimes or always stressful. One hundred and ninety workers are chosen at random. Use the TI-84 Plus calculator as needed. Round your answer to at least four decimal places. (a) Approximate the probability that 140 or fewer workers find their jobs stressful. (b) Approximate the probability that more than 155 workers find their jobs stressful. (c) Approximate the probability that the number of workers who find their jobs stressful is between 145 and 158 inclusive. Part 1 of 3

a) P=0.019

b) P=0.263

c) P=0.794

Step-by-step explanation:

We assume that the poll gives the population's proportion of respondents said that their jobs were sometimes or always stressful (p=0.8).

Then, a sample of size n=190 is taken.

The sample mean is:

The sample standard deviation is:

The probability that 140 or fewer workers find their jobs stressful is:

Note: a correction for continuity is applied.

The probability that more than 155 workers find their jobs stressful is

The probability that the number of workers who find their jobs stressful is between 145 and 158 inclusive is:

required rate of return = 0.166 = 16.6%

step-by-step explanation:

under the capital asset pricing model (capm), the required or expected rate of return for a particular security or asset is given using the formula:

required rate of return = risk-free rate + beta*(market risk premium)

we are given that;

risk-free rate = 4% = 0.04

beta = 1.4

market risk premium = 9% = 0.09

we simply plug these values into the above formula;

required rate of return = 0.04 + 1.4*(0.09)

required rate of return = 0.04 + 0.126

required rate of return = 0.166 = 16.6%