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WorksheetsUnit 4: Expected Value, Binomial Distribution, Continuous X
Total questions: 16
Worksheet time: 48mins
What is the area of this probability distribution?
1
2
100
1.4
X 50 20 5
P(X) 0.1 0.3 0.6
Find the mean (expected value) of the probability distribution.
85
83.2
87.1
84.4
Is this binomial experiment? Shuffle a deck of 52 cards. Turn over the top card. Do not replace the card. Repeat the process 5 times. Let X = the card you observe.
Yes
No, the trials are not independent.
No, there are more than 2 outcomes
Suppose you pay $1.00 to roll a fair die with the understanding you will get $3.00 back rolling a 4 or a 2, and nothing otherwise. What is the expected amount you win?
$0.00
-$1.00
$1.00
$3.00
Identify whether the experiment involves a discrete or a continuous random variable.
tossing a pair of fair coins
Discrete Random Variable
Continuous Random Variable
Identify whether the experiment involves a discrete or a continuous random variable.
Rotating a spinner that has 4 equally divided parts: blue, green, yellow, and red
Discrete Random Variable
Continuous Random Variable
Is this a probability distribution?
No
Yes
How tall is this rectangle if it is a probability distribution?
.25
.5
1
4
Use the uniform probability distribution to solve.
What is the area of the part of the region where ? 1.4 ≤ x ≤ 3
61
32
21
What is P (X < 4)?
0.375
.25
.5
.4
What is P (3 < X < 5)?
0.375
.2
.5
.4
