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const2013 [10]
2 years ago
15

A safety light is designed so that the times between flashes are normally distributed with a mean of and a standard deviation of

. a. Find the probability that an individual time is greater than s. b. Find the probability that the mean for randomly selected times is greater than c. Given that the light is intended to help people see an​ obstruction, which result is more relevant for assessing the safety of the​ light?
Mathematics
1 answer:
dalvyx [7]2 years ago
8 0

Complete question is;

A safety light is designed so that the times between flashes are normally distributed with a mean of 2.50s and a standard deviation of 0.50s.

A. Find the probability that an individual time is greater than 3.00 s.

B. Find the probability that the mean for 70 randomly selected times is greater than 3.00 s.

C. Given that the light is intended to help people see an​ obstruction, which result is more relevant for assessing the safety of the​ light?

Answer:

A) 0.15866

B) 0.00000001

C) Result in part B is more important

Step-by-step explanation:

A) We are given;

Mean; μ = 2.5

Standard deviation; σ = 0.5

To find the probability that an individual time is greater than 3 seconds, we will find the z-score and then find the p-value.

z = (x¯ - μ)/σ

z = (3 - 2.5)/0.5

z = 1

From z-distribution table attached, at z = 1, p(z < 1) = 0.84134

But we are looking for P(z > 1), thus;

P(z > 1) = 1 - 0.84134

P(z > 1) = 0.15866

B) now 70 are randomly selected. Thus, the z-score will be gotten from;

z = (x¯ - μ)/(σ/√n)

z = (3 - 2.5)/(0.5/√70)

z ≈ 8.37

From online calculations, we have;

P(z < 8.37) = 0.99999999

But we need P(z > 8.37).

This is:

P(z > 8.37) = 1 - P(z < 8.37)

P(z > 8.37) = 1 - 0.99999999

P(z > 8.37) = 0.00000001

C) The result in part B is more relevant because it is dealing with a sample size of 70 as against individual one in result A.

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Answer:

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3 years ago
What is the value of w?<br><br><br> A.) 7<br> B.) 3.5<br> C.) 7 square root of 3<br> D.) 14
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D. 14 

LL = 1/2 * Hsqrt3
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24.25 = ysqrt3
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If x = -2, which inequality is true?
Anettt [7]
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3 years ago
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A cell phone can receive 120 messages per minute. At this rate, how many messages can the phone recieve in 150 seconds
aev [14]
Hi, 

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7 0
3 years ago
Help pleaseeeeeeee.
Dmitry_Shevchenko [17]
Answer: 11x

---------------------------------------------------
---------------------------------------------------

Explanation:

Let L be the length of rectangle B
There are two copies of L (along the top and bottom of the rectangle). The vertical pairs of sides are both 7x each.

For the triangle, we have three sides of 12x since this is an equilateral triangle. All three sides are congruent for any equilateral triangle.

The perimeter of the triangle is
P = s1+s2+s3
P = 12x+12x+12x
P = 36x

The perimeter of the rectangle is 
P = 2*L+2*W
P = 2L+2*7x
P = 2L+14x

Since both perimeters are the same, this means 
perimeter of triangle = perimeter of rectangle
36x = 2L+14x
36x-14x = 2L+14x-14x
22x = 2L
2L = 22x
2L/2 = 22x/2
L = 11x

So the length of the rectangle, in terms of x, is 11x. This is the final answer.

Note: if we knew the value of x, then we could find the numeric value of the length for the rectangle. But since we don't know x, we leave it as 11x.

7 0
3 years ago
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