Use the probability distribution to find probabilities in parts(a) through(c).

The probability distribution of number of dogs per household in a small town

Dogs

0

1

2

3

4

5

Households

0.686

0.195

0.077

0.025

0.012

0.005

(a) Find the probability of randomly selecting a household that has fewer than two dogs.

____________

(Round to three decimal places asneeded.)

QUESTION 11:

Determine the required value of the missing probability to make the distribution a discrete probability distribution.

x P(x)

3 0.34

4 ?

5 0.26

6 0.16

P(4) =

(Type an integer or adecimal.)

Question 14:

In the game ofroulette, a player can place a $6 bet on the number 16 and have a 138 probability of winning. If the metal ball lands on 16, the player gets to keep the $6 paid to play the game and the player is awarded an additional $210. Otherwise, the player is awarded nothing and the casino takes theplayer's $6. What is the expected value of the game to theplayer? If you played the game 1000times, how much would you expect tolose? Note that the expected value is theamount, onaverage, one would expect to gain or lose each game.

The expected value is $ ____

(Round to the nearest cent asneeded.)

Question 17:

Find themean, variance, and standard deviation of the binomial distribution with the given values of n and p.

n=129, p=0.66

Themean, , is _______

(Round to the nearest tenth asneeded.)