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lara [203]
3 years ago
6

PLEASE ANSWER WILL MARK BRAINLIEST!!

Mathematics
1 answer:
sdas [7]3 years ago
5 0

Answer:

  a) 7/10

  b) 1/6

Step-by-step explanation:

a) There are 10 ways to roll a 5 or less. Of those, 7 are greater than 3.

(die 1)(die 2) ∈ {11, 12, 21, 13, 22, 31, 14, 23, 32, 41}

  p(>3 | ≤5) = 7/10

__

b) Of the 36 possible outcomes of rolling two dice, there are 6 ways to have a 6 and an odd number:

  {16, 36, 56, 61, 63, 65}

The probability of interest is 6/36 = 1/6.

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Answer: 0.1840

Step-by-step explanation:

The binomial probability formula :-

P(X)=^nC_x\ p^x(1-p)^{n-x}, here n is the number total of trials , p is the probability of getting success in each trial and P(x) is the probability of getting success in x trial.

Given : The probability of the community favored building a police substation in their neighborhood = 0.64

If 14 citizens are chosen, then the probability that exactly 8 of them favor the building of the police substation will be :-

P(8)={14}^C_{8}\ (0.64)^{8}(1-0.64)^{14-8}\\\\=\dfrac{14!}{8!6!}\times(0.64)^8(0.36)^{6}\\\\0.183996740126\approx0.1840

Hence, the probability that exactly 8 of them favor the building of the police substation = 0.1840

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4*4=16+7=23

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