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Ronch [10]
3 years ago
12

If A and B are independent events, P(A) = 0.25, and P(B) = 0.45, find the probabilities below. (Enter your answers to four decim

al places.)
(a) P(A ∩ B)


(b) P(A ∪ B)


(c) P(A | B)


(d) P(Ac ∪ Bc)
Mathematics
1 answer:
Kamila [148]3 years ago
4 0

we are given two probabilities of two events:  P(A) = 0.25, and P(B) = 0.45. we are asked to determine  P(A ∩ B) which has a formula of P(A) * P(B) equal to 0.25 *0.45 equal to 0.1125.  P(A ∪ B) has a formula of P(A) + P(B) equal to 0.70. (c) P(A | B) is 0.25/0.45 equal to 0.56. (d) P(Ac ∪ Bc) is equal to (1-0.25)*(1-0.45) equal to 0.4125. 
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A boat is heading towards a lighthouse, whose beacon-light is 136 feet above the
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The distance between the points A to B is 899.9 feet. After rounding off the  nearest integer we get 900 feet as the final answer.

Given we know that CD is perpendicular to AD.

The distance between CD is 139 feet.

As from points A the boat's crew measure the angle of elevation to the beacon as 6°

therefore, m∠A = 6°

Another time the angle of elevation is measured from point B which is 19°.

therefore, m∠DBC = 19°

tan 19° = CD/BD

BD = CD/tan19°

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AD = CD/tan 6°

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AB = AD ₋ BD

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AB = 1295.2 ₋ 395.3

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8. Where will the hour hand of a clock stop if it starts:
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Step-by-step explanation:

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The spinner game is an illustration of probability, and the spinner game that is fair is (b) If you spin a number greater than 10, you win.

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The probability that a number that is not greater than 10 is spun is calculated using the following complement rule

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Notice that both probabilities are the equal

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