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vivado [14]
3 years ago
10

It is estimated that 55% of the freshmen entering a particular college will graduate from that college in four years.

Mathematics
1 answer:
Varvara68 [4.7K]3 years ago
8 0

Answer:

Step-by-step explanation:

Let x be a random variable representing the number of freshmen that will enter and graduate from the college. This is a binomial distribution since the outcomes are two ways. It is either they graduate or they don't graduate. The probability of success, p = 55/100 = 0.55

The probability of failure, q would be 1 - p = 1 - 0.55 = 0.45

a) We want to determine P(x = 3)

From the binomial distribution table,

P(x = 3) = 0.34

b) A majority would be all 3 and above graduating. From the binomial distribution table,

P(x ≥ 3) = 0.26

c) mean = np

mean = 80 × 0.55 = 44

Standard deviation = √npq

Standard deviation = √80 × 0.55 × 0.45 = 4.45

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3 years ago
Which set of whole numbers share the common multiples 2,520 and 3,780?
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3 years ago
In a 45 45 90 right triangle the length of the hypotenuse is 15/2 what is length on one of the legs
Nikitich [7]
Hi there!

For any 45 45 90 right triangle, the length of the hypotenuse is always the square root of 2 times one of the legs.

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\frac{15}{ 2 \sqrt{2} }

When simplifying fractions like this, we want to avoid having radicals on the bottom. In order to remove the radical from the denominator, let's multiply the numerator and the denominator by the square root of 2.

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3 years ago
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3 years ago
Seven people can paint a bridge in 15 days.
Aleksandr [31]

Answer:

a) 3 people will need 35 days to paint the bridge

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Step-by-step explanation:

a)

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b)

Substitute p for 3 in the second equation

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8 0
3 years ago
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