UTA Statistics Questions

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2022FL MATH-1342-30007
Ali Ali
11/02/22 12:19 AM
Homework: Section 4.1
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Question 1
< Question 7, 4.1.37 >
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In American roulette, the wheel has the 38 numbers, 00, 0, 1, 2, 34, 35, and 36, marked on equally spaced slots. If a player bets $10 on a number and wins, then the player keeps $10 and
receives an additional $350. Otherwise, the player is awarded nothing, and the casino takes the player’s $10. Find the expected value E(X) to the player for one play of the game. If x is the gain to
a player in a game of chance, then E(X) is usually negative. This value gives the average amount per game the player can expect to lose.
The expected value is $
Question 2
(Round to the nearest cent as needed.)
Question 3
Question 4
Question 5
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Question 7
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Use the probability distribution to complete parts (a) and (b) below.
0
The number of defects per 1000 machine parts inspected
Defects
Probability 0.263
1
0.294
2
3
4
5
0.249
0.137
0.043
0.014
(a) Find the mean, variance, and standard deviation of the probability distribution.
The mean is
(Round to one decimal place as needed.)
Question 3
Question 4
Question 5
○ Question 6
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0
The number of dogs per household in a small town
Dogs
Probability 0.637
1
2
3
4
5
0.230
0.086
0.026
0.013
0.008
(a) Find the mean, variance, and standard deviation of the probability distribution.
Find the mean of the probability distribution.
με
(Round to one decimal place as needed.)
Question 3
Question 4
○ Question 5
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Determine whether the distribution is a discrete probability distribution.
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○ Question 1
○ Question 2
Question 3
○ Question 4
Is the distribution a discrete probability distribution? Why? Choose the correct answer below.
○ A. No, because the total probability is not equal to 1.
B. Yes, because the distribution is symmetric.
C. No, because some of the probabilities have values greater than 1 or less than 0.
○ D. Yes, because the probabilities sum to 1 and are all between 0 and 1, inclusive.
Question 5
○ Question 6
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Determine the required value of the missing probability to make
the distribution a discrete probability distribution.
X
P(x)
3
0.35
4
?
5
0.27
6
0.17
○ Question 1
Question 2
P(4) =
(Type an integer or a decimal.)
○ Question 3
Question 4
○ Question 5
○ Question 6
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