2. Five cards are drawn from a dek without replacement. Find the probability of

2. Five cards are drawn from a dek without replacement. Find the probability of getting all hearts.3. In a certain high-risk group the chances of a person having a stroke are 37%. If three people are chosen at random find the probability of at least one having a stroke.4. A package contains 12 sweaters 3 of which are blue. If 4 are selected find the probability of getting 1 blue sweater.5. In the past year 17% of businesses have eliminated jobs. If 25 businesses are randomly selected what is the probability that exactly 5 have eliminated jobs?6.Check the following data for normallity:30 59 69 50 58 71 55 43 66 52 56 62 36 13 29 17 37. The probability of winning on a slot machine is 5%. If a person plays the machine 500 times find the probability of winning 30 times. Use the normal approximation to the binomial distribution.8. Find the area under the curve between a z score of -1.34 and 2.15.9. A local paper reports that the average number of reservations per night at local hotels is 500. Using alpha = .01 is this claim realistic? Use the given hotels reservations listed below: 713 300 292 311 598 401 61810. Identify the five number summary for the given list of data:30 35 28 37 33 37 29 38 37 34 39