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kodGreya [7K]
3 years ago
9

A random variable is normally distributed with a mean of 25 and a standard deviation of 5. if an observation is randomly selecte

d from the distribution, determine two values of which the smallest has 25% of the values below it and the largest has 25% of the values above it.
Mathematics
1 answer:
Naddika [18.5K]3 years ago
7 0
<span>A random variable is normally distributed with a mean of 25 and a standard deviation of 5. if an observation is randomly selected from the distribution, determine two values of which the smallest has 25% of the values below it and the largest has 25% of the values above it.</span>
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Answer:

yes

Step-by-step explanation:

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C) Three yam tubers are chosen at random from 15 tubers of which 5 are spoilt. Find the probability that, of the three chosen tu
Dmitry_Shevchenko [17]

\displaystyle\\|\Omega|=\binom{15}{3}=\dfrac{15!}{3!12!}=\dfrac{13\cdot14\cdot15}{2\cdot3}=455

a)

\displaystyle\\|A|=\binom{10}{3}=\dfrac{10!}{3!7!}=\dfrac{8\cdot9\cdot10}{2\cdot3}=120\\\\P(A)=\dfrac{120}{455}=\dfrac{24}{91}\approx26.4\%

b)

\displaystyle\\|A|=\binom{5}{3}=\dfrac{5!}{3!2!}=\dfrac{4\cdot5}{2}=10\\\\P(A)=\dfrac{10}{455}=\dfrac{2}{91}\approx2.2\%

c)

\displaystyle\\|A|=\binom{10}{2}\cdot5=\dfrac{10!}{2!8!}\cdot5=\dfrac{9\cdot10}{2}\cdot5=225\\\\P(A)=\dfrac{225}{455}=\dfrac{45}{91}\approx49.5\%

d)

A - at least one is spoilt

A' - none is spoilt

P(A)=1-P(A')

We calculated P(A') in a).

Therefore

P(A)=1-\dfrac{24}{91}=\dfrac{67}{91}\approx73.6\%

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2 years ago
guess my birth day i was born in 2007 and im 14 and my age is the same as the day get one try and if your right ill make you bri
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3 years ago
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The length of a rectangle is 3 inches longer than its width. If the perimeter of the rectangle is 54 inches, find it’s length an
dangina [55]

Answer: Length = 15, Width = 12

Step-by-step explanation:

L = length

W = width

L = W+ 3

perimeter = 2L + 2W

54 = 2(W+3) + 2W

54 = 2W + 6 + 2W

54 = 4W + 6

54 - 6 = 4W

48 = 4W

W = \frac{48}{4}

W = 12

now to find the length, plug the width into the equation L = W + 3

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L = W+3

L=12 +3

L = 15

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3 years ago
PLS I NEED HELP RN PLSSSSSSSSSS
Cerrena [4.2K]

Answer:

35

Step-by-step explanation:

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