Question

**There are 10 ice creams. There are strawberry, coconut,
matcha, and melon flavor. Suppose that each ice cream of the same
flavor is indistinguishable from another.**

**a. How many combinations are there such that there is at
least 2 strawberry and at most 2 coconut ice cream?**

**b. How many combinations are there such that there is at
least 2 strawberry, at most 2 coconut ice cream, and at least 1
matcha if 3 ice creams melted. (Hint: There is now 7 ice cream
left.)**

Answer #1

Total ice creams=10

(a)

strawberry flavor. |
2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | ||

coconut flavor. |
0 | 1 | 2 | ||||||||

matcha flavor. |
0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |

melon flavor. |
0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |

Total number of possible combination =(9+8+7)+(8+7+6)+(7+6+5)+(6+5+4)+(5+4+3)+(4+3+2)+(3+2+1)+(2+1+0)+(1+0+0)=109

(b)

3 ice creams melted.

Now total ice creams=7

strawberry flavor. |
2 | 3 | 4 | 5 | 6 | 7 | ||

matcha flavor. |
1 | 2 | 3 | 4 | 5 | 6 | 7 | |

coconut flavor. |
0 | 1 | 2 | |||||

melon flavor. |
0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 |

Total number of possible combination = (3+3+3+2+1)+(3+3+2+1)+(3+2+1)+(2+1)+(1)=31

10. Suppose 29% of children prefer strawberry ice cream to
chocolate. We randomly pick a sample of 1,000 children.
1 What is the probability that between 24% and 32% of the
children in our sample prefer strawberry ice cream? Blank 1
2 What is the probability that less than 27% of the children in
our sample prefer strawberry ice cream? Blank 2

In an ice cream parlor you can get 3 scoops of ice cream.
The 3 scoops of ice cream may or may not be of the same favour.
If the ice cream parlor offers 34 flavors, how many different
possible combinations of 3 scoops can you make, assuming that you
CAN have more than one scoop of a given flavor.

A new ice-cream brand is introduced by you to each customer
entering the supermarket with Chocolate, Vanilla and Strawberry
flavours. After each customer tasted the ice-cream, 20% of them
like Chocolate flavour, 44% like Vanilla flavour and other like
Strawberry flavour. Among those customers like Chocolate flavour,
25% are males. 19% of all customers like Vanilla flavour and they
are females. 10% of all customers like Strawberry flavour and they
are males. You find the probability that a randomly selected...

A supermarket manager must decide how much of each ice cream
flavor he should stock so that customer demands are satisfied and
unwanted flavours don’t result in waste. The ice cream
supplier claims that among the four most popular flavours,
customers have these preference rates: 62% prefer vanilla, 18%
prefer chocolate, 12% prefer Neapolitan, and 8% prefer vanilla
fudge. A random sample of 200 customers produces the
results summarized in the table below. At α = 0.05, test
the claim that the supplier...

Suppose that I am buying 12 sets of iphones that are either
black, white, green, or red. Suppose that each iphone of the same
colour are indistinguishable from one another. How many
combinations are there such that I have at least 2 black sets and
at most 1 red set?
Repeat question 1 with the additional requirement that I would
still have at least 1 set of blue headphone if I break 3 iphones
sets randomly over the next month....

At Izzy’s Ice Cream you can buy an ice cream cone a lot of
different ways. You have 3 choices for the type of cone you can
get: sugar cone, waffle cone or chocolate coated cone. You have 6
choices for ice cream flavor: chocolate, vanilla, strawberry,
cherry, peach or banana. You have 5 choices for toppings: jimmies,
butterscotch syrup, peanuts, gummy bears or “M and Ms”. You can
order one of three sizes: small, medium or large. When you...

Consider an ice cream company with two stores. Each store has
the same production function 2L^(0.5)* K^(0.5), where K is the
number of ice cream machines and L is the number of workers. Store
1 has 4 machines, whereas Store 2 has I machine. a) If the ice
cream company employs 20 workers then how many should it employ at
each shop? b) Is it better to employ another worker, or purchase
another ice cream machine for Store 2? Assume...

You manage an ice cream factory that makes two flavors: Creamy
Vanilla and Continental Mocha. Into each quart of Creamy Vanilla go
2 eggs and 3 cups of cream. Into each quart of Continental Mocha go
1 egg and 3 cups of cream. You have in stock 500 eggs and 900 cups
of cream. You make a profit of $3 on each quart of Creamy Vanilla
and $2 on each quart of Continental Mocha. How many quarts of each
flavor...

Suppose the market demand function for ice cream is
Qd = 10 - 2P and the market supply function for ice
cream is Qs= 4P - 2, both measured in millions of
gallons of ice cream per year. Suppose the government imposes a
$0.50 tax on each gallon of ice cream produced. The price received
by sellers with the tax is:
$2.33.
$1.50.
$1.73.
$1.83.

Suppose the market demand function for ice cream is
Qd = 10 - 2P and the market
supply function for ice cream is Qs =
4P - 2, both measured in millions of gallons of ice cream
per year. Suppose the government imposes a $0.46 tax on each gallon
of ice cream. The change in producer surplus due to the tax is:
(Round to the nearest ten thousand and answer in millions. ex. 0.94
= 940,000)

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 17 minutes ago

asked 36 minutes ago

asked 37 minutes ago

asked 43 minutes ago

asked 56 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago