Answered

Suppose that fund-raisers at a university call recent graduates to request donations for campus outreach programs. They report the following information for last year’s graduates:Size of donation$0$10$25$50Proportion of calls0.450.300.200.05Three attempts were made to contact each graduate. A donation of $0 was recorded both for those who were contacted but who declined to make a donation and for those who were not reached in three attempts. Consider the variable x = amount of donation for the population of last year’s graduates of this university.a. Write a few sentences describing what you think you might see if the value of x was observed for each of 1000 graduates.b. What is the most common value of x in this population?c. What is P(x ≥ 25)?d. What is P(x > 0)?



Answer :

Part a: The four layers can be stacked up to 1,000.

Part b: Most common value of x in this population $0 gift .

Part c: P(x ≥ 25) = 0.30.

Part d: P(x > 0) = 0.60

Explain the term probability?

  • The probability is a numerical representation of the likelihood or chance that a specific event will take place.
  • Both proportions ranging from 0 to 1 and percentages ranging form 0% to 100% can be used to describe probabilities.

Part a: It is also anticipated that the students will donate nothing, or around 1000 x 0.40 = 400 of both.

To donors 10, about 1000 x 0.30 = 300.

1000 x 0.25 = 250 donors who gave $25, and 1000 x 0.05 = 50 donors who gave $50.

Its frequencies would approximate the likelihood but not exactly.

The four layers can be stacked up to 1,000.

Part b:

A $0 gift is the population's key value of x in point b, and 40% of students make this choice.

Part c: P(x ≥ 25)

P(x ≥ 25) = 0.25 + 0.05

P(x ≥ 25) = 0.30

Part d: P(x > 0)

P(x > 0) = 1 - P(x = 0)

P(x > 0) = 1 - 0.40

P(x > 0) =0.60

To know more about the probability, here

https://brainly.com/question/13604758

#SPJ4

Other Questions