Chapter 8, Problem 42RE

(a)

To determine

To calculate: The probability distribution, expected value, and the standard deviation of the random variable X if X is the number of pollen on a particular day, and the count of pollen online for the period when Majory Duffin is planning a joint sales meeting with OHaganBooks.com in Atlanta at the end of March but allergic to pollen.

Pollen count	$0-1.9$	$2-3.9$	$4-5.9$	$6-7.9$	$8-9.9$	$10-11.9$
Number of Days	$3$	$5$	$7$	$2$	$1$	$2$

(b)

To determine

To calculate: The range of pollen counts on approximately $95\%$ of days using empirical rule if X is the number of pollen on a particular day, and the count of pollen online for the period when Majory Duffin is planning a joint sales meeting with OHaganBooks.com in Atlanta at the end of March but allergic to pollen. Also, determine whether empirical rule can be applied or not.

Pollen count	$0-1.9$	$2-3.9$	$4-5.9$	$6-7.9$	$8-9.9$	$10-11.9$
Number of Days	$3$	$5$	$7$	$2$	$1$	$2$

(c)

To determine

The actual percentage of days on which the pollen count is between $2$ and $7$ out of the following options, if X is the number of pollen on a particular day, and the count of pollen online for the period when Majory Duffin is planning a joint sales meeting with OHaganBooks.com in Atlanta at the end of March but allergic to pollen.