In a group of people, the expected number who wear glasses is 2 and the variance is 1.6 . Calculate the probability that six people in the group wear glasses .
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In a group of people, the expected number who wear glasses is 2 and the variance is 1.6 . Calculate the probability that six people in the group wear glasses .
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- A random variable has a longnormal distribution with mean 10 and variance 4. Calculate the probability that the variable will take a value between 7.5 and 12.5Service time for a customer coming through a checkout counter in a retail store is a random variable with the mean of 3.0 minutes and standard deviation of 1.5 minutes. Suppose that the distribution of service time is fairly close to a normal distribution. Suppose there are two counters in a store, n¡ = 47 customers in the first line and n2 = 49 customers in the second line. Find the probability that the difference between the mean service time for the shorter line X1 and the mean service time for the longer one X2 is more than 0.6 minutes. Assume that the service times for each customer can be regarded as independent random variables. Round your answer to two decimal places (e.g. 98.76). P = iople who exercise frequently tend to have lower resting heart rates. The mean resting heart rate for adults is 65 BPM (beats per minute). The standard deviation is 7 BPM. Resting heart rate is approximately nor- mally distributed (bell-shaped). (a) What is the probability of randomly selecting an adult with a resting heart rate greater than 65 BPM? (b) What is the probability of randomly selecting an adult who has resting heart rate less than 58 BPM? (c) What is the probability of randomly selecting an adult who has a heart rate between 60 BPM and 70 BPM? (d) Would you consider it umusual for a person to have a heart rate higher than 84 BPM? Why or why not? (e) Serious athletes often have very low resting hcart rates. How low must a per- son's hear rate be if it is lower than approximately 95% of the population?
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