Use the following information to answer the next ten exercises. 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 modeled by the following distribution: X ~ Exp(0.2)

51 .

State the probability density function.

52 .

Graph the distribution.

53 .

Find P(2 < x < 10).

54 .

Find P(x > 6).

55 .

Find the 70^th percentile.

Use the following information to answer the next seven exercises. A distribution is given as X ~ Exp(0.75).

56 .

What is m?

57 .

What is the probability density function?

58 .

What is the cumulative distribution function?

59 .

Draw the distribution.

60 .

Find P(x < 4).

61 .

Find the 30^th percentile.

62 .

Find the median.

63 .

Which is larger, the mean or the median?