A)The Department of Animal Regulations released information on pet ownership for the population consisting of all households in a particular county. Let the random variableX= the number of licensed dogs per household. The distribution for the random variableXis given below.

Value ofX

0

1

2

3

4

5

Probability

0.52

0.22

0.13

0.03

0.01

What is the probability that a randomly selected household from this community owns at least one licensed dog?

0.48 is the answer, how did they get this? Show calculation

B) The weight of medium-sized tomatoes selected at random from a bin at the local supermarket is a random variable with a mean of= 10 ounces and a standard deviation of= 1 ounces. Let the random variableW= the weight of the tomatoes in pounds (1 pound = 16 ounces). What is the standard deviation of the random variableW?

The answer is _W=1/16 pound Please show calculation

C) Consider two events:EandF. We know thatP(E) =P(F) = 0.7. IfEandFwere known to be independent, what is the probability that at least one of them occurs, i.e., what isP(EorF)?

The answer is 0.91 please show calculation

D) Let the random variableXrepresent the profit made on a randomly selected day by a small clothing store on Main Street. AssumeXis Normal with a mean of $360 and a standard deviation of $50.how much randomly selected store could make ($) to have a probability (or proportion of population) of approximately 0.6 ?

The answer is $372.50 please show calculation.

E) If you draw an M&M candy at random from a bag of the candies, the candy you draw will have one of six colors. The probability of drawing each color depends on the proportion of each color among all candies made. Assume the table below gives the probabilities for the color of a randomly chosen M&M.

Color

Brown

Red

Yellow

Green

Orange

Blue

Probability

0.3

0.3

?

0.1

0.1

0.1

What is the probability of not drawing a red candy?

The answer is 0.7 please show calculation.