1) Let A and B denote two events defined over a sample space S. Suppose it is given that
P(AUB) = 0.76
a. If A and B are mutually exclusive events with PĀ=0.45, then what is P[B] ?
b. Suppose, instead, that A and B are independent events with P[BI A]=0.12, What is
P[A] ?
c. If it is given that P[A]=0.30 and that P [BIA]=0.60, what is P[B]?

about 0.75 hours

step-by-step explanation:

hello,

b) 62.47% of the students are between 14 and 18 years old.

step-by-step explanation:

mean = 15 and standard deviation = 2

student between 14 to 18

formula used z-score

for age 14 , z score

using z-table , p(z> -0.5)=0.3085

for age 18 , z score

using z-table , p(z< 1.5)=0.9332

p(-0.5< z< 1.5)=0.9332-0.3085 = 0.6247

thus, 62.47% of the students are between 14 and 18 years old.

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step-by-step explanation:

the answer is b.

step-by-step explanation: