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Probability of drawing a card, mutually exclusivity and probability distributions

If one card is drawn from a deck, find the probability of getting these results.
a- An Ace
b- A diamond
c- An ace f diamonds
d- A 4 or a 6
e- 4 or a club
f- A 6 or a spade
g- A heart or a club
h- A red queen
i- A red card or a 7
j- A black card or a 10

If four students are seated on a bench, find the probability that the students are seated in alphabetical order from left to right, according to each student¡¯s last name.
(Assume that all the last names are different)

A couple plans to have 3 children, find each probability
A. Of all boys
B. Of all girls or all boys
C. Of exactly two boys or two girls
D. Of at least one child of each gender

Give an example of two events that are mutually exclusive and two events that are not mutually exclusive.

An automobile sales woman finds that the probability of making a sale is 0.23. If she talks to four customers today, find the probability that she will sell four automobiles.

If two people are selected at random, find the probability that they have the same birthday (both month and day)

If a family has four children, find the probability that there is at least one girl among the children

Determine whether the distribution represents a probability distribution. If it is not state wide.

X 6 12 18
___________________________
P(X) 1/4 1/16 3/16

X 1 3 5 7 9 1 _____________________________________________________________
P(X) 1/6 1/6 1/6 1/6 1/6 1/6

Construct a probability distribution for the data, and draw a graph for the distribution.
The probability that a customer selects 1,2,3,4, or five items at a convenience store are 0.32, 0.12, 0.23, 0.18 and 0.15, respectively

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Solution Summary

The solution includes multiple problems involving statistics, probability, distributions, definitions of concepts, and random variables.

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