Sharon draws a random card, from a regular deck of cards, and rolls a regular 6 sided die. What is the probability that Sharon draws a card that is a Heart and rolls a 3?
The Internal Revenue Service is studying the category of charitable contributions. A sample of 25 returns is selected from young couples between the ages of 20 and 35 who had an adjusted gross income of more than $100,000. Of these 25 returns, five had charitable contributions of more than $1,000. Four of these returns are selected for a comprehensive audit.
a. Explain why the hypergeometric distribution is appropriate.
b. What is the probability exactly one of the four audited had a charitable deduction of more than $1,000?
c. What is the probability at least one of the audited returns had a charitable contribution of more than $1,000?
In a bag of marbles, there are 10 green, 6 red, and 4 blue. What is the probability that you draw a red
ball?
check each binomial distribution to see whether it can be approximated by normal distribution (that is, np ≥5 and nq ≥5).
a.) n=20, p=0.5
b.)n=50, p=0.2
c.)n=10, p=0.6
d.)n=30, p=0.8
e.)n=40, p=0.9
f.)n=20 p=0.85