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Chapter 5: Q.56 (page 351)
Use the following information to answer the next seven exercises. A distribution is given as . What is m?
The answer of m is 0.75
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Use the following information to answer the next eight exercises. A distribution is given as.
Find the percentile
According to a study by Dr. John McDougall of his live-in weight loss program, the people who follow his program lose between six and 15 pounds a month until they approach trim body weight. Let’s suppose that the weight loss is uniformly distributed. We are interested in the weight loss of a randomly selected individual following the program for one month. a. Define the random variable. X = _________ b. X ~ _________ c. Graph the probability distribution. d. f(x) = _________ e. μ = _________ f. σ = _________ g. Find the probability that the individual lost more than ten pounds in a month. h. Suppose it is known that the individual lost more than ten pounds in a month. Find the probability that he lost less than 12 pounds in the month. i. P(7 < x < 13|x > 9) = __________. State this in a probability question, similarly to parts g and h, draw the picture, and find the probability.
Use the following information to answer the next eleven exercises. The age of cars in the staff parking lot of a suburban college is uniformly distributed from six months (0.5 years) to 9.5 years.
Write the probability density function
In a small city, the number of automobile accidents occur with a Poisson distribution at an average of three per week.
a. Calculate the probability that there are at most accidents occur in any given week.
b. What is the probability that there is at least two weeks between any accidents?
55.
A customer service representative must spend different
amounts of time with each customer to resolve various concerns. The amount of time spent with each customer can be
modelled by the following distribution:
Find the 70th percentile.
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