Winston, a dog, loves to play fetch. He catches each ball mid-air independently with probability 0.2 (i.e. Bernoulli random variable with p = 0.2).   What is the PMF probability of Winston catching X=0,1,2,3,4,5 balls mid-air using the Binomial distribution.

Explain why ? can be treated as a binomial random variable. What is the probability that at least forty-nine workers from the sample have no drug problem? What is the expected number of workers with no drug problem from the sample?

37% adults favor the use of unmanned drones by police agencies. Twelve U.S. adults are randomly selected. Find the probability that the number of U.S. adults who favor the use of unmanned drones by police agencies is (a) exactly three, (b) at least four, (c) less than eight. (a) P(3) =(Round to three decimal places as needed.)

28% adults favor the use of unmanned drones by police agencies. Twelve US adults are randomly selected. Find the probability that the number of U.S. adults who favor the use of unmanned drones by police agencies is ( a) exactly three(b) at least four, () less than eight

A remedial program evenly enrolls tradition and non-traditional students. If a random sample of 4 students is selected from the program to be interviewed about the introduction of a new on-line class, what is the probability that all 4 students selected are traditional students?     0.0625     0.0525     0.0425     0.0325

42% of adults say cashews are their favorite kind of nut. You randomly select 12 adults and ask each time to name his or her 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) exactly three, (b) atleast four, and (c) at most two.

In an urban area, 31% of dog owners pay for someone to walk their dogs. Morgan asks a random sample of 50 dog owners in this urban area if they pay for someone to walk their dog. What is the probability that more than 30% of the owners in the sample pay for someone to walk their dog? Find the z-table here. 0.439 0.519 0.561 0.586 2.

15%0f cellphone users use their cell phones to access internet. In arandom sample of 10 cellphone users, what is probability that exactly 2 have used their phones to access internet?

very morning, Laura practices shooting basketball free throws.  She doesn’t shoot a fixed amount, instead she keeps shooting free throws until she makes 12.  Suppose Laura is an 82% free throw shooter. Let X be how many free throws Laura will miss tomorrow morning.  Then X has a negative binomial distribution. What is a trial?                         What is a success?                         How many successes are required? r =                            What is the success probability?  p =

Company F sells fabrics known as fat quarters, which are rectangles of fabric created by cutting a yard of fabric into four pieces. Occasionally the manufacturing process results in a fabric defect. Let the random variable X represent the number of defects on a fat quarter created by Company F. The following table shows the probability distribution of X. X 0 1 2 3 4 or more Probability 0.58 0.23 0.11 0.05 0.03 If a fat quarter has more than 2 defects, it cannot be sold and is discarded. Let the random variable Y represent the number of defects on a fat quarter that can be sold by Company F. (a) Construct the probability distribution of the random variable Y. (b) Determine the mean and standard deviation of Y. Show your work.   Company G also sells fat quarters. The mean and standard deviation of the number of defects on a fat quarter that can be sold by Company G are 0.40 and 0.66, respectively. The fat quarters sell for $5.00 each, but are discounted by…