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Probability Review Ch. 14 & 15 Stats (with hints)

Total questions: 10

Worksheet time: 42mins

Name
Class
Date
1.

Use the following table to find the expected value.

(X values in L1, Prob. values in L2, then use 1-VarStats)

a)

E(X) = $50

b)

E(X) = $75

c)

E(X) = $10

d)

E(X) = $62.50

2.

Find:

P(Sports Car | Male)

Remember: the 'given' is what comes after the vertical line, it is the group we are interested in.

a)

35%

b)

16.25%

c)

65%

d)

25%

3.

What is the probability that a student plays on a sports team given they don't play an instrument?

The given is the group we are interested in, not the entire group.

a)

.7273

b)

.8

c)

.55

d)

.2222

4.

What is P(not sport)?

This is anything that is not inside the 'sport' circle.

a)

24/50

b)

26/50

c)

3/50

d)

23/50

5.

What is P(Foreign Language OR Sport)?

OR means 'add' the students who take foreign language, BOTH or play a sport.

a)

47/50

b)

26/50

c)

14/50

d)

33/50

6.

A jar contains 4 white chips, 5 purple chips, and 1 black chip. Chips are selected randomly one at a time, and are not replaced. Find P(purple then black)

This means the probability of the first chip changes the probability of the second chip, the total has gone down by one.

a)

1/18

b)

2/5

c)

3/7

d)

4/9

7.

A box contains 5 purple marbles, 3 green marbles and 2 orange marbles. Draws are made without replacement.P(both marbles are purple)

This means the probability of the first marble changes the probability of the second marble, the total has gone down by one.

a)

2/9

b)

1/3

c)

1/2

d)

1/4

8.

Barry Bonds has a career batting average of .298. What is the probability that he will get on base 6 times in 10 at bats?

This is a Binomial Probability, use binompdf or binomcdf.

Use '2nd, Vars' scroll up.

a)

.0358

b)

.0546

c)

.2267

d)

1

9.

A quarterback has a incomplete passing percentage of 30%. What is the probability that he does not complete at most 8 of his 20 passes?

This is a binomial probability, use 2nd, Vars, scroll up to binom...

It is the probability of multiple events, it is cumulative so use cdf.

a)

88.67%

b)

77.23%

c)

54%

d)

12.34%

10.

A quarterback has a incomplete passing percentage of 30%. What is the probability that he does not complete at least 8 of his 20 passes?

'At least' means use the complement, which is 1minus...

You WANT at least 8 so you need to subtract the probability of no more than 7.

a)

17.73%

b)

22.77%

c)

54%

d)

12.34%