Question

The probability that a person in the United States has type

B​+

blood is

10​%.

Five

unrelated people in the United States are selected at random. Complete parts​ (a) through​ (d).

​(a) Find the probability that all

five

have type

B​+

blood.The probability that all

five

have type

B​+

blood is

nothing.

​(Round to six decimal places as​ needed.)

​(b) Find the probability that none of the

five

have type

B​+

blood.The probability that none of the

five

have type

B​+

blood is

nothing.

​(Round to three decimal places as​ needed.)

​(c) Find the probability that at least one of the

five

has type

B​+

blood.The probability that at least one of the

five

has type

B​+

blood is

nothing.

​(Round to three decimal places as​ needed.)

​(d) Which of the events can be considered​ unusual? Explain. Select all that apply.

A.

The event in part​ (b) is unusual because its probability is less than or equal to 0.05.

B.

The event in part​ (c) is unusual because its probability is less than or equal to 0.05.

C.

None of these events are unusual None of these events are unusual.

D.

The event in part left parenthesis a right parenthesis is unusual because its probability is less than or equal to 0.05The event in part (a) is unusual because its probability is less than or equal to 0.05.

Answer 1

ANSWER::

   (OR) TRY THIS ANSWER.......

The probability that a person in the United States has type B blood is 10%.

That is P(B blood) = 0.10

Five unrelated people in the United States are selected at random.

a)

The probability that all five have type B blood is = 0.10*0.10*0.10*0.10*0.10 = 0.00001

b)

Probability of none of type B blood is = 1 - 0.00001 = 0.99999

The probability that none of the five have type B blood is = 0.99999*0.99999*0.99999*0.99999*0.99999 = 0.99995

c)

The probability that at least one of the five has type B blood is: 1 - 0.99995 = 0.00004

c)

Correct answers are:

A. The event in part (a) is unusual because its probability is less than or equal to 0.05

B. The event in part (c) is unusual because its probability is less than or equal to 0.05

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