1. Let the sample space be S={1,2,3,4}. Suppose the outcomes are equally likely. Compute the probability of the event E="an even number."

P(E)=_____

2.. A survey asked, "How many tattoos do you currently have on your body?" Of the 1249 males surveyed, 186 responded that they had at least one tattoo. Of the 1067 females surveyed, 143 responded that they had at least one tattoo. Construct a 99% confidence interval to judge whether the proportion of males that have at least one tattoo differs significantly from the proportion of females that have at least one tattoo. Interpret the interval. Let p1 represent the proportion of males with tattoos and p2 represent the proportion of females with tattoos. Find the 99% confidence interval for p1p2.

The lower bound is______ The upper bound is_____ (Round to three decimal places as needed.)

3.

a] 0 imathxlsom (5 (D G + Assume the random variable X is normally distributed with mean p.= 50 and standard deviation 0' = 7. Compute the probability. Be sure to draw a normal curve with the area corresponding to the probability shaded. P(34