Question

Let X be the number of winning tickets if there is a 0.1 chance of each ticket winning and 4 tickets are randomly selected. Then the resulting probability distribution is: y - Prob(x) 0.6561 0.6 0.5 0.4 0.3 0.2916 0.2 0.1 0.0486 0.0036 0.0001 0 1 2 3 4 x = # of winners Answer each part with an exact decimal, unless indicated. a. Find Prob (3 winners) = 0.0036 b. Find Prob ($x > 3$ winners) = 0.0001 c. Find the expected value of X, $\mu_x$ = d. To 3 places, find the standard dev. of X, $\sigma_x$ =

          Let X be the number of winning tickets if there is a 0.1 chance of each ticket winning and 4 tickets are randomly selected. Then the resulting probability distribution is:
y - Prob(x)
0.6561
0.6
0.5
0.4
0.3
0.2916
0.2
0.1
0.0486
0.0036
0.0001
0
1
2
3
4
x = # of winners
Answer each part with an exact decimal, unless indicated.
a. Find Prob (3 winners) = 0.0036
b. Find Prob ($x > 3$ winners) = 0.0001
c. Find the expected value of X, $\mu_x$ =
d. To 3 places, find the standard dev. of X, $\sigma_x$ =

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Let X be the number of winning tickets if there is a 0.1 chance of each ticket winning and 4 tickets are randomly selected. Then the resulting probability distribution is:
y - Prob(x)
0.6561
0.6
0.5
0.4
0.3
0.2916
0.2
0.1
0.0486
0.0036
0.0001
0
1
2
3
4
x = # of winners
Answer each part with an exact decimal, unless indicated.
a. Find Prob (3 winners) = 0.0036
b. Find Prob (x > 3 winners) = 0.0001
c. Find the expected value of X, =
d. To 3 places, find the standard dev. of X, =

Added by Elisa G.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

Instant Answer

Solved by Expert Adi S

10/13/2022

Step 1

Step 1: To find the probability of getting 3 winners, we need to find the probability of getting exactly 3 winning tickets out of the 4 randomly selected tickets. Show more…

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Texts: Let X be the number of winning tickets if there is a 0.1 chance of each ticket winning and 4 tickets are randomly selected. Then the resulting probability distribution is: 0.6561, 0.6, 0.5, 0.2916, 0.3, 0.1, 0.0480, 0.0036, 0.0001. Answer each part with an exact decimal, unless indicated. a. Find Prob(3 winners) = 0.0036. b. Find Prob(>3 winners) = 0.0001. c. Find the expected value of X. (x) d. To 3 decimal places, find the standard deviation of X. (x)

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