part 5

1. Fifty percent of all Americans who travel by car look for gas stations and food outlets that are close to or visible from the highway. Suppose a random sample ofn= 25. Americans who travel by car are asked how they determine where to stop for food and gas. Letxbe the number in the sample who respond that they look for gas stations and food outlets that are close to or visible from the highway. (a) What are the mean and variance ofx? (b) Calculate the interval 2. What values of the binomial random variablexfall into this interval? (Enter your answers as a comma-separated list.) (c) FindP(8 x 17).(Round your answer to three decimal places.) How does this compare with the fraction in the interval 2 for any distribution? For mound-shaped distributions? This value with Tchebysheff's Theorem which states that at least ______?________ % of the measurements should be in this interval. The value the Empirical Rule which states that approximately ______?______% of the measurements should be in this interval.
2. A USA Today snapshot indicates that 36% of women aged 25-55 say that, when they are too busy to eat, they get fast food from a drive-thru, Skip a Meal: 35%, Have Protein Bar or Shake: 15%, Have Candy/Snack Food: 14%. If 50 of the women in the sample said they eat fast food when they're too busy to eat, would this be an unusual occurrence? Explain. Options :- 1. Since the z-score corresponding to x = 50 is between 1 and 0, it is not unusual. 2. Since the z-score corresponding to x = 50 is between 0 and 1, it is not unusual.3. Since the z-score corresponding to x = 50 is between 1 and 2, it is not unusual. 4. Since the z-score corresponding to x = 50 is between 2 and 3, it is somewhat unusual. 5. Since the z-score corresponding to x = 50 is greater than 3, it is very unusual.