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Hoochie [10]
2 years ago
10

A binomial event has n = 50 trials. The probability of success for each trial is 0.60. Let x be the number of successes of the e

vent during the 50 trials. What are μx and σx?
30 and 3.4641
30 and 5.4772
20 and 3.4641
20 and 5.4772
50 and 3.4641
Mathematics
2 answers:
babunello [35]2 years ago
3 0

Answer:

30 and 3.4641

Step-by-step explanation:

The mean of a binomial distribution is:

μ = np

And the standard deviation of a binomial distribution is:

σ = √(npq)

Here, n = 50, p = 0.60, and q = 0.40.

μ = np = 50 × 0.60 = 30

σ = √(npq) = √(50 × 0.60 × 0.40) = 3.4641

guapka [62]2 years ago
3 0

Answer:

A. 30 and 3.4641

Step-by-step explanation:

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It takes William 45 minutes to weed the garden. It takes his younger sister May 75 minutes to do the same job. If they work toge
marshall27 [118]

Answer:

B. 28 minutes

Step-by-step explanation:

According to the given statement,

William weeds the whole garden in 45 minutes, then in one minute he will weed 1/45 of the garden

and

similarly, 1/75 of the garden in one minute.

When they both will work together, they will weed (1/45+1/75) of the garden in one minute

Solving the equation:

= \frac{1}{45}+ \frac{1}{75}\\= \frac{75+45}{3375}\\ =\frac{120}{3375}\\ = 0.036

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So, number of minutes to weed whole garden = 1/0.036

= 27.77 minutes

Rounding off will give us: 28 minutes

So,

Option B is the correct answer ..

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<span>x=y+2
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