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Chapter 5 and 6 Test Review

Total questions: 22

Worksheet time: 2hrs 10mins

Name
Class
Date
1.
Given the probability model in the table below, what is the expected value of the random variable?
  X        50          20        5
P(X)     0.1         0.3      0.6
a)
14
b)
4.67
c)
5
d)
7.5
2.
If the expected value is negative, are you expected to win?
a)
yes
b)
no
3.

Eva flips a coin. If she gets heads, she wins $4. If she gets tails, she loses $3. What is her expected value of a coin flip?

a)

$1

b)

$0.50

c)

-$0.50

d)

$0

4.
Which of the following is NOT an assumption of the Binomial distribution?
a)
All trials must be independent.
b)
Each trial must be classified as a success or a failure.
c)
All trials are dependent on each other.
d)
The number of successes in the trials is counted.
5.

An algebra 2 test has 6 multiple choice questions with four choices with one correct answer each. If we just randomly guess on each of the 6 questions, what is the probability that you get exactly 3 questions correct?

a)

0.962

b)

0.132

c)

0.831

d)

0.250

6.
Bob is taking a 100 question test.  They have a 90 % probability of getting any one question correct.  WHICH IS THE CORRECT FORMULA TO FIND OUT THE PROBABILITY that they will answer EXACTLY 70  questions correctly?
a)
100C70   ( 0.18  )30 ( 0.90  )70
b)
100C70   ( 0.10  )30 ( 0.90  )60
c)
100C70   ( 0.10  )30 ( 0.90  )70
d)
99C70   ( 0.10  )30 ( 0.90  )70
7.

Which of the following uses the Poisson Distribution?

a)

Counting the number of red cars that pass by your house in 1 hour.

b)

Counting the number of cars that pass by your house in 1 hour.

c)

Counting the number of red cars that pass by your house until you get to 10 red cars

d)

Counting how many cars are red out of the next ten cars that pass your house.

8.
The weight of a newborn infant.
a)
Discrete
b)
Continuous
9.
The number of points scored by a team during a basketball game.
a)
Discrete
b)
Continuous
10.

If a data value has a negative z-score it means the data value is lower than the mean.

a)

True

b)

False

c)

Maybe

11.
Find the probability the snowfall will be between 3 and 6 inches.
a)
.2
b)
.4
c)
.6
d)
1
12.
Find the area under the standard normal curve where z < 2.42 .
a)
.008
b)
.992
c)
.301
d)
.862
13.
Find the area to the right of z= -1.02
a)
.846
b)
.782
c)
.154
d)
.523
14.
The mean temperature in Glens Falls for the month of February is 23 degrees with a standard deviation of 4.2 degrees.  Approximately what percent of days in February will have days below 23 degrees?
a)
5%
b)
34%
c)
50%
d)
68%
15.

The average height of NBA basketball players is 79 inches with a standard deviation of 1.75 inches. Approximately what percent of the players are taller than 82 inches?

a)

about 4% to 5%

b)

about 2% to 3%

c)

about 6% to 7%

d)

about 6.5%c to 7.5%

16.
What happens to the shape of a sampling distribution of sample means as n increases?
a)
It becomes narrower and bimodal.
b)
It becomes narrower and more normal.
c)
It becomes wider and skewed right. 
d)
It becomes wider and more normal. 
17.
Researches found that boys playing high school football absorb an average of 355 hits to the head with a standard deviation of 80 hits during a season.  What is the probability on a randomly selected team of 48 players that the average number of head hits per player is between 340 and 360?
a)
.236
b)
.429
c)
.571
d)
.614
18.
Suppose the teenagers that attend public high schools get an average of 5.7 hours of sleep each night with a standard deviation of 1.7 hours.  What is the probability that a randomly selected group of 35 high school students get more than 6 hours of sleep each night?
a)
.430
b)
.148
c)
.281
d)
.087
19.

In the following situation, identify n, p, q, and x for the binomial distribution:

A sea turtle's chance at survival is 2%. Counting a nest of 82 sea turtles, what is the probability that exactly 1 will survive?

a)

n=82, p=0.02, q=0.98, x=1

b)

n=1, p=0.02, q=0.98, x=82

c)

n=82, p=0.98, q=0.02, x=1

d)

n=1, p=0.98, q=0.02, x=82

20.
What is the area under the curve between z = 0 and z = 1.45?
a)
.9265
b)
.4265
c)
.4500
d)
.5000
21.
What is the area under the curve to the right of z = .25, the white part of the curve?
a)
.5987
b)
.4013
c)
.9938
d)
.0062
22.
What is the total area under the curve?
a)
1
b)
.9998
c)
.997
d)
-3 < z < 3