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Ilia_Sergeevich [38]
3 years ago
6

Approximately 18% of the calls to an airline reservation phone line result in a reservation being made. (a) suppose that an oper

ator handles 15 calls. what is the probability that none of the 15 calls result in a reservation?
Mathematics
1 answer:
MrRissso [65]3 years ago
3 0
Answer: The probability that none of the calls would result in a reservation would be 0.72%.

Since there is an 18% chance that there would be a reservation, then there is a 72% chance that there is not a reservation.

Our goal is to determine the likelihood that there are no calls. Or that the 72% chance event happens 15 times.

We can use the following expression to find that repeated probability.

(0.72)^15 = 0.0072 or 0.72%
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How many sequences of 0s and 1s of length 19 are there that begin with a 0, end with a 0, contain no two consecutive 0s, and con
sladkih [1.3K]

65 sequences.

Lets solve the problem,

The last term is 0.

To form the first 18 terms, we must combine the following two sequences:

0-1 and 0-1-1

Any combination of these two sequences will yield a valid case in which no two 0's and no three 1's are adjacent

So we will combine identical 2-term sequences with identical 3-term sequences to yield a total of 18 terms, we get:

2x + 3y = 18

Case 1: x=9 and y=0

Number of ways to arrange 9 identical 2-term sequences = 1

Case 2: x=6 and y=2

Number of ways to arrange 6 identical 2-term sequences and 2 identical 3-term sequences =8!6!2!=28=8!6!2!=28

Case 3: x=3 and y=4

Number of ways to arrange 3 identical 2-term sequences and 4 identical 3-term sequences =7!3!4!=35=7!3!4!=35

Case 4: x=0 and y=6

Number of ways to arrange 6 identical 3-term sequences = 1

Total ways = Case 1 + Case 2 + Case 3 + Case 4 = 1 + 28 + 35 + 1 = 65

Hence the number of sequences are 65.

Learn more about Sequences on:

brainly.com/question/12246947

#SPJ4

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Evaluate the expression below for s=5 and t=6 3st2 - s2
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5 pounds of tomatoes cost $15.50. How much does one pound of tomatoes cost?
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Step-by-step explanation:

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