1- a) Find the probability of randomly selecting a household that has one or two television

integers or a decimal. Do notround.)

b) Find the probability of randomly selecting a household that has two or more televisions

an integer or a decimal. Do notround.)

(c) Find the probability of randomly selecting a household that has between one and threetelevisions, inclusive.

an integer or a decimal. Do notround.)

(d) Find the probability of randomly selecting a household that has at most two televisions.

an integer or a decimal. Do notround.)

2-Dogs: 0-1-2-3-4-5

Probability: 0,679-0.200-0.079-0.023-0.012-0.006

a) Find themean, variance, and standard deviation of the probability distribution.

3-The pregnancy length in days for a population of new mothers can be approximated by a normal distribution with a mean of 267 days and a standard deviation of 12 days.

(a) What is the minimum pregnancy length that can be in the top 10% of pregnancylengths?

(b) What is the maximum pregnancy length that can be in the bottom 3% of pregnancylengths?

4-A mechanic sells a brand of automobile tire that has a life expectancy that is normallydistributed, with a mean life of 28,000 miles and a standard deviation of 2700 miles. He wants to give a guarantee for free replacement of tires thatdon't wear well. How should he word his guarantee if he is willing to replace approximately10% of thetires?

5-In a large section of a statisticsclass, the points for the final exam are normallydistributed, with a mean of 76 and a standard deviation of 7. Grades are assigned such that the top10% receiveA's, the next20% receivedB's, the middle40% receiveC's, the next20% receiveD's, and the bottom10% receiveF's. Find the lowest score on the final exam that would qualify a student for anA, aB, aC, and a D.

6-The weights of ice cream cartons are normally distributed with a mean weight of 7 ounces and a standard deviation of 0.4 ounces.

(a) What is the probability that a randomly selected carton has a weight greater than 7.15 ounces?

(b) A sample of 25 cartons is randomly selected. What is the probability that their mean weight is greater than 7.15 ounces?

7-The weights of ice cream cartons are normally distributed with a mean weight of 7 ounces and a standard deviation of 0.4 ounces.

(a) What is the probability that a randomly selected carton has a weight greater than 7.15 ounces?

(b) A sample of 25 cartons is randomly selected. What is the probability that their mean weight is greater than 7.15 ounces?

8- 31% of adults say cashews are their favorite kind of nut. You randomly select 12 adults and ask each to name his or her favorite nut. Find the probability that the number who say cashews are their favorite nut is(a) exactlythree, (b) at leastfour, and(c) at most two. Ifconvenient, use technology to find the probabilities.