4.19 A milk processing unit claims that, of the processed milk converted to powdered milk, 95% does not spoil. Find the probabilities that among 15 samples of powdered milk (a) all 15 will not spoil; (b) at most 12 will not spoil; (c) at least 9 will not spoil. wants to check whether (in

4.81. Whenever horses a, b, c race together, their respective probabilities of winning are 0.3, 0.5, 0.2. They race three times. (a) Find the probability that the same horse wins all three races. (b) Find the probability that a, b, c each wins one race.

Suppose 58.8% of small businesses experience cash flow problems in their first 5 years. A consultant takes a random sample of 557 businesses that have been opened for 5 years or less. What is the probability that greater than 55.85% of the businesses have experienced cash flow problems?   Question 2 options:   1)  0.9214   2)  0.5000   3)  -6.0341   4)  0.0786   5)  >0.999

Suppose a sitcom is filmed on set between zero and five days per week. The following table shows the probabilities of the sitcom being filmed zero, one, two, three, four, or five days in a week. ? ?(?) 0 0.112131 0.145582 0.169423 0.225474 0.153755 0.19365The expected number of days the sitcom will be filmed in one week, ? , is 2.74408. Use the formula below to calculate the variance, ?2, of the number days the sitcom films, ?, where ?(?) is the probability of the sitcom filming for a particular number of days.?2=∑[(?−?)2⋅?(?)]Provide each answer with three decimal places of precision. What is the weighted probability of zero days of filming?(?0−?)2⋅?(?0)= What is the weighted probability of one day of filming?(?1−?)2⋅?(?1)= What is the weighted probability of two days of filming?(?2−?)2⋅?(?2)= What is the weighted probability of three days of filming?(?3−?)2⋅?(?3)= What is the weighted probability of four days of filming?(?4−?)2⋅?(?4)= What is the weighted probability of five days of…