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WorksheetsProbability Distribution Quiz
Total questions: 10
Worksheet time: 27mins
Name
Class
Date
1.
What is the value of p in the probabiity distribution shown in the image?
a)
0.5
b)
0.15
c)
0.05
d)
0.1
2.
What E(x) for probability distribution given in the image?
a)
2.4
b)
.103
c)
-1.03
d)
1.03
3.
A marketing survey compiled data on the number of cars in households. If X = the number of cars in a randomly selected household, and we omit the rare cases of more than 5 cars, then X has the following probability distribution:
X 0 1 2 3 4 5
P(X) 0.24 0.37 0.20 0.11 0.05 0.03
What is the probability that a randomly chosen household has at least two cars?
X 0 1 2 3 4 5
P(X) 0.24 0.37 0.20 0.11 0.05 0.03
What is the probability that a randomly chosen household has at least two cars?
a)
0.20
b)
0.29
c)
0.39
d)
0.61
4.
The table represents the probability of guessing correct on a 5 question true-false quiz. Find the probability for at least 4 questions correct.
a)
.03125
b)
.15625
c)
.3125
d)
.1875
5.
The table above shows a television station's advertisement sales. The distribution of sales for one 24-hour day is given. Solve for the mean. Round to the nearest hundredth.
a)
31.80
b)
15.68
c)
0.20
d)
1.00
6.
A stockbroker estimates that at the end of the year, there is a 40% chance a stock will be worth $50, a 35% chance it will be worth $60 and a 25% chance it will be worth $70.
What expected value does this broker assign to this stock's end-of-the-year price?
What expected value does this broker assign to this stock's end-of-the-year price?
a)
$58.50
b)
$60.00
c)
$62.50
d)
$65.00
7.
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
8.
In a certain community, 30% of households have 1 child, 43% have 2 children, and 27% have 3 children. If a household is selected at random, what is the expected number of children in that household? HINT: A Probability table may be helpful.
a)
2.00
b)
2.13
c)
1.97
d)
1.27
9.
What is the variance of the probability distribution given in the image? Write your answer with 3 significant digits.
(a)
10.
In finding the p(at least 1), we can calculate it as 1-p(none).
a)
True
b)
False
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