A probability experiment is conducted in which the sample sp

A probability experiment is conducted in which the sample space of the experiment is S = (1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12), Event F = (3, 4, 5, 6), and event G = (10, 11). Assume that each outcome is equally likely.

List the outcomes in F or G. from the list below.

aa. F or G = (3,4,5,6,10,11)

bb. F or G = (1,2,3,4,5,6,7,8,9,10,11,12)

cc. F or G = (10,11)

dd. F or G = (3,4,5,6)

Find P (F or G) by counting the number of fractions in F or G.

P(f or G) = ____ (Type an integer or simplified fraction)

Determine P(F or G) using the general addition rile.

P(f or G) = ____ (Type an integer or simplified fraction)

Find the probability of the indicated event if P(E) = 0.25 and P(F) = 0.35. Find P(E or F) if P(E and F) = 0.20.

P(E or F) = ____    (simplify your answer)

The data below represent the number of live multiple-delivery births (3 or more babies) in a particular year for women 15 to 54 years old.

Age

Number of multiple births.

15.19

94

20-24

508

25-29

1639

30-34

2834

35-39

1841

40-44

373

45-54

115

Use this data to answer the next 4 questions.

Determine the probability that a randomly selected multiple birth for women 15-54 years old involved a mother 30-39 years old.

P(30 to 39) ____   (round to the three decimal places as needed.)

Determine the probability that a randomly selected 15-54 years old involved a mother NOT 30-39 years old.

P( NOT 30 to 39) ____   (round to the three decimal places as needed.)

Determine the probability that a randomly selected multiple birth for women 15-54 years old involved a mother less than 45 years old.

P( less than 45) ____   (round to the three decimal places as needed.)

Determine the probability that a randomly selected multiple birth for women 15-54 years old involved a mother at least 20 years old.

P( at least 20) ____   (round to the three decimal places as neede

Solution

1.

aa. F or G = (3,4,5,6,10,11)

as \"or\" denotes the set containing all elements from F or G.

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2.
Find P (F or G) by counting the number of fractions in F or G.

The sample space S has 12 elements, of which 6 are in F or G.

Thus,

P(F or G) = 6/12 = 1/2 [answer]

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3.

Determine P(F or G) using the general addition rile.

P(F or G) = P(F) + P(G) - P(F and G) = 4/12 + 2/12 - 0 = 6/12 = 1/2 [answer]

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