1) study indicates that 80% of American teenagers have tattoos. You randomly sample 10 teenagers, find the probability that more than 5 will have tattoos.

2)A study indicates that 20% of American teenagers have tattoos . You randomly sample 10 teenagers , Find the probability that at least 2 will have tattoos.

3)A study indicates that 60% of American teenagers have tattoos. You randomly sample 10 teenagers. Find the probability that between 3 and 5 ( inclusive ) will have tattoos.

4)A study indicates that 85% of American teenagers have tattoos. You randomly sample 20 teenagers. Find the mean and the standard deviation of the number of tattoos.

5)A manufacturer knows that their items have a normally distributed lifespan , with a mean of 6.4 years , and standard deviation of 1.1 years. If you randomly purchase one item, what is the probability it will last longer than 8 years?

6)The mean daily production of a herd of cows is assumed to be normally distributed with a mean of 40 liters, and standard deviation of 2.3 liters.

a)What is the probability that daily production is less than 44.2 liters?

b)what is the probability that daily production is more than 46.4 liters?

Warning: Do not use the z Normal tables ...they may not be accurate enough since WAMAP may look for more accuracy than comes from the table .

7)The scores on a standardized test are normally distributed with a mean of 95 and standard deviation of 15 . What test score is 2.1 standard deviation below the mean?

8)Contestants A,B,C,D and E are in a 10k race.

a)in how many ways can E finish first and C finish second?

b)what is the probability that E finishes second? Enter a reduced fraction or decimal.

9)The probability density of a random variable X is given in the figure below where a=10 and b=16 . From this density, the probability that X is at most 13.8 is:

10)A group of Mathematics faculty at the local college consists of 8 women and 8 men. Five people are to be selected to go to a conference.

a) what is the probability that all women will be chosen to attend the conference?

Enter a reduced fraction or decimal.