According to a Gallup poll, 60% of American adults prefer saving over spending. Let X = the number of American adults out of a random sample of 50 who prefer saving to spending. a. What is the probability distribution for X? b. Use your calculator to find the following probabilities: i. the probability that 25 adults in the sample prefer saving over spending ii. the probability that at most 20 adults prefer saving i. the probability that more than 30 adults prefer saving c. Using the formulas, calculate the () mean and (i) standard deviation of X.

The percentages of weapons used in murders in a certain year are described in the pie chart. Complete parts (a) through (c) below. Types of Weapons Used in Murders Fireams, 64.9% Knives or other cutting instruments, 10.2% Unknown or other dangerous weapon, 13.1% Personal weapons (hands, fists, etc), 11.8% a. Find the probability that a weapon randomly selected from those used in murders in this specific year was a firearm. The probability that a weapon randomly selected from those used in murders in this specific year was a firearm is Type an integer or a decimal.) b. Find the probability that a weapon randomly selected from those used in murders in this specific year was NOT a firearm The probability that a weapon randomly selected from those used in murders in this specific year was NOT a firearm is (Type an integer or a decimal.) c. From inspecting the pie chart, a student concludes that in any year, 11.8% of weapons used in murders are personal weapons What would you tell the…

Using the data given below, determine whether it would unusual for a household to have no HD televisions. The number of televisions (HD) per household in a small town Televisions 1 2 Households 26 445 655 1474 P(x) 0.010 0.171 0.252 0.567 Choose the correct answer below. O A. It would be unusual because the probability of having no HD televisions is less than 0.05. OB. It would not be unusual because the probability of having no HD televisions is more than 0.05. O C. It would not be unuşual beçause 26 people have no HD televisions in the town. O D. It would be unusual because 26 people have no HD televisions in the town. Click to select your answer.

An examination has  historical record of a 25% rate of failure.For a group of 15 students sitting for the exam,calculate the probability that:a. A minimum of 12 will succeed. b.All individuals will successfully complete the exam.