Assume you have applied for two jobs a and b. the probability that you get an offer for job a is 0.23. the probability of being offered job b is 0.20. the probability of getting at least one of the jobs is 0.35. a. what is the probability that you will be offered both jobs? b. are events a and b mutually exclusive? why or why not? explain.

Probabilities are used to determine the chance of an event.

The probabilities are given as:

(a) Probability that he gets both jobs

First, we calculate the probability that he gets one of the jobs

This is calculated as:

So, we have:

The probability that he gets both job is:

So, we have:

(b) Check if the events are mutually exclusive

Two events are said to be mutually exclusive if:

In other words,

Hence, the events are not mutually exclusive

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a, P(A or B) = P(A) + P(B) - P(A and B)

... 0.35 = 0.23 + 0.30 - P(A and B)

... P(A and B) = 0.43 - 0.35

... P(A and B) = 0.08

b. If events A and B are mutually exclusive, P(A and B) = 0. Here, P(A and B) ≠ 0, so the events are not mutually exclusive.

2 & 7

step-by-step explanation:

he climbs 300 ft/hr at a constant rate. the peak is at 1,500 ft.

when going up, he reaches 600 ft in 2 hours. remember, that he is going in a constant rate. divide 600 with 300:

600/300 = 2

assuming that he takes the same route back (meaning that it's a 1500 ft route back, you can solve.

note also that you are solving when he gets back to 600 ft after he reaches the peak.

first, find the amount of hours it takes to get up the peak. divide the total amount (1500), with the ft/her (300) to get the amount of hours (x):

1500/300 = x

x = 5

it takes jamie 5 hours to get up. now, he is returning down, and reaches 600 (his current destination). remember that he climbs at a constant 300 ft/hr. divide 600 with 300:

600/300 = x

x = 2

now add the two numbers together.

x = 5 + 2 = 7

jamie takes 7 hours to go up the mountain and reach his current position when descending.

(total amount/constant rate) = (time).

remember that it is a constant rate, so in total, when he gets back down the mountain, it will take the same amount of time as when he goes up. the total amount for the round trip is: 5 + 5 = 10.

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what's the question?

step-by-step explanation:

there is no question.