Of people who died in the United States in recent years, 86% were white, 12% wer

Question

Of people who died in the United States in recent years, 86% were white, 12% were black, and 2% were Asian. (This ignores a small number of deaths among other races.) Diabetes caused 2.8% of deaths among whites, 4.4% among blacks, and 3.5% among Asians. The probability that a randomly chosen death is a white person who died of diabetes is about (a) 0.107. (b) 0.030. (c) 0.024. Using the information in Exercise 13.25, the probability that a randomly chosen death was due to diabetes is about (a) 0.107 (b) 0.030. (c) 0.024 Playing the lottery. New York State's "Quick Draw" lottery moves right along. Players choose between one and 10 numbers from the range 1 to 80: 20 winning numbers are displayed on a screen every four minutes, If you choose just one number, your probability of winning is 20/80, or 0.25. Lester plays one number eight times as he sits in a bar. What is the probability that all eight bets lose? Universal blood donors. People with type O-negative blood are referred to as universal donors, although if you give type O-negative blood to any patient you run the risk of a transfusion reaction due to certain antibodies present in the blood. However, any patient can receive a transfusion of O-negative red blood cells. Only 7.2% of the American population have O-negative blood. If 10 people appear at random to give blood, what is the probability that at least one of them is a universal donor?

Explanation / Answer

Solution:-

The probability that atleast one of them is universal donor is 0.5263.

p = 7.2/100 = 0.072, n = 10

By applying binomial distribution:-

P(x, n) = nCx* px *(1 - p)(n - x)

x = 1

P(x > 1) = 0.5263

The probability that atleast one of them is universal donor is 0.5263.

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