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QUESTION 13 Two fair dice are rolled. Find the probability that the sum of the two numbers is not greater than 5. (Round answer to four decimals.) QUESTION 15 The following table shows the results of offspring peas having green pods. Find the probability that at least two of the six offspring peas have green pods. (Round to the nearest thousandth). Peas with Green Pods x P(x) 0 0.000 1 0.004 2 0.033 3 0.132 4 0.297 5 0.356 6 0.178 QUESTION 17 Determine whether a probability distribution is given. If a probability distribution is given, find its mean. (Round to the nearest tenth). If a probability distribution is not given, state (not a probability distribution). (Check your spelling!) x P(x) 0 0.0625 1 0.2500 2 0.3750 3 0.2500 4 0.0625

          QUESTION 13 Two fair dice are rolled. Find the
probability that the sum of the two numbers is not greater than
5. (Round answer to four decimals.)
QUESTION 15
The following table shows the results of offspring peas
having green pods. Find the probability that at least two of
the six offspring peas have green pods. (Round to the nearest
thousandth).
Peas with Green Pods
x
P(x)
0
0.000
1
0.004
2
0.033
3
0.132
4
0.297
5
0.356
6
0.178
QUESTION 17 
Determine whether a probability distribution is given.
If a probability distribution is given, find its mean. (Round to
the nearest tenth). If a probability distribution is not given,
state (not a probability distribution). (Check your
spelling!)
x
P(x)
0
0.0625
1
0.2500
2
0.3750
3
0.2500
4
0.0625

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Added by Martin F.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

Instant Answer

Solved by Expert Robin Corrigan

06/13/2022

Step 1

This is the same as finding the probability that the sum is 5 or less. The possible outcomes for the sum to be 5 or less are (1,1), (1,2), (1,3), (2,1), (2,2), (3,1). These are a total of 6 outcomes out of 36 possible outcomes when rolling two dice. Show more…

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QUESTION 13 Two fair dice are rolled. Find the probability that the sum of the two numbers is not greater than 5. (Round answer to four decimals.) QUESTION 15 The following table shows the results of offspring peas having green pods. Find the probability that at least two of the six offspring peas have green pods. (Round to the nearest thousandth). Peas with Green Pods x P(x) 0 0.000 1 0.004 2 0.033 3 0.132 4 0.297 5 0.356 6 0.178 QUESTION 17 Determine whether a probability distribution is given. If a probability distribution is given, find its mean. (Round to the nearest tenth). If a probability distribution is not given, state (not a probability distribution). (Check your spelling!) x P(x) 0 0.0625 1 0.2500 2 0.3750 3 0.2500 4 0.0625

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00:01 For the first question here, we have two dice that are rolled, and we're asked to find the probability that the sum of the two numbers is not greater than 5.

00:21 So this is the probability that the sum is less than or equal to 5.

00:30 And this is equal to the number of outcomes for which the sum is less than or equal to 5, divided by the number of possible outcomes in the sample space when rolling two dice.

00:44 So for the numerator, we want the number of ways of rolling two dice and getting a sum that is not greater than 5.

00:49 5.

00:51 So that corresponds to all of these outcomes.

00:59 Any of the other outcomes have a sum greater than 5.

01:03 So we have 1, 2, 3, 4, 5, 6, 7, 8, 9, 10.

01:10 So the numerator is 10.

01:12 And the denominator is 36 because there are 36 total outcomes shown in this diagram.

01:20 So this can be expressed as 5 divided by 18 or approximately 0 .2778.

01:31 For the next question we have the probability distribution shown here, which is the number of green pods out of six offspring p's.

01:43 And we are asked to find the probability that at least two of the six offspring p's have green pods.

01:51 So this is the probability that x is greater than or equal to 2.

01:58 And there are two ways, sorry, there are five ways that x can be greater than or equal to 2...

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