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In a hamster breeder's experience the number X of live pups in a litter has the probability distribution of
x 3 4 5 6 7 8 9
P(x) 0.04 0.1 0.26 0.31 0.22 0.05 0.02
(a) Find the probability that the next litter will produce five to seven live pups.
(b) Find the probability that the next litter will produce at least six live pups.
Two fair dice are rolled.
(a) What is the probability of getting a sum of 7?
(b) What is the probability that the sum of the numbers on the dice is odd?
Refer to the menu below, how many dinners at Kay’s Quick Lunch consist of an optional appetizer, one main course, and an optional beverage?
Appetizers
Nachos 2.15
Salad 1.90
Main courses
Hamburger 3.25
Cheeseburger 3.65
Fish filet 3.15
Beverages
Tea .70
Milk .85
Cola .75
Root Beer .75
There are a selection of Action Comics, Superman, Captain Marvel, Archie, X-Man, and Nancy comics.
(a) How many ways are there to select 10 comics?
(b) How many ways are there to select 10 comics if we choose at least one of each book?
There are piles of identical red, blue, and green balls where each pile contains at least 10 balls.
(a) In how many ways can 10 balls be selected if exactly one red ball must be selected? (
(b) In how many ways can 10 balls be selected if at least one red ball, at least two blue balls, and at least three green balls must be selected?
How many number of strings that can be formed by ordering the letters given:
(a) SCHOOL
(b) CLASSICS
Suppose that a pizza parlor features four specialty pizzas and pizzas with three or fewer unique toppings (no choosing anchovies twice!) chosen from 17 available toppings. How many different pizzas are there?
At one point in the Illinois state lottery Lotto game, a person was required to choose six numbers (in any order) among 44 numbers. In how many ways can this be done?
In how many ways can we select a chairperson, vice- chairperson, and recorder from a group of 11 persons?
Two dice are rolled. How many outcomes give the sum of 7 or the sum of 11?
