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Brilliant_brown
13 days ago
12

In a high school there are 1200 students. Estimate the probability that more than 130 students were born in January under each o

f the following assumptions. You do not have to use the continuity correction.
(a) Months are equally likely to contain birthdays
(b) Days are equally likely to be birthdays
Mathematics
1 answer:
Svet_ta [9.5K]13 days ago
3 0
The probability of more than 130 students born in January based on the provided assumptions is 0.00086. Let X represent the number of January birthdays. Given that P(a birthday occurs in January) = E(X) = np = 100, while the standard deviation is σ = 9.5743. Therefore, P(X > 130) = 1 - P(X ≤ 130) = 1 - P(Z ≤...) = 1 - 0.99914 = 0.00086.
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B. and D. represent functions
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28 days ago
Samir is an expert marksman. When he takes aim at a particular target on the shooting range, there is a 0.950.950, point, 95 pro
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The question appears to be incomplete. Here’s the complete inquiry:

Samir is quite skilled with the gun. When he targets a specific aim at the shooting range, he has a 0.95 probability of striking it. On one occasion, Samir sets out to shoot 10 targets consecutively.

If he has the same chance of hitting each of the 10 targets, what is the likelihood that he will miss at least one?

Response:

40.13%

Step-by-step breakdown:

Let 'A' represent the event of successfully hitting all targets in 10 trials.

The complement of 'A' is \overline A=\textrm{Missing a target at least once}

Now, since Samir has a consistent probability of hitting each target at 0.95.

Now, P(A)=0.95^{10}=0.5987

We know that the combined probability of an event and its complement equals 1.

<pThus, P(A)+P(\overline A)=1\\\\P(\overline A)=1-P(A)\\\\P(\overline A)=1-0.5987\\\\P(\overline A)=0.4013=40.13\%

Consequently, the probability that he misses at least one target among 10 attempts is 40.13%.

6 0
27 days ago
Read 2 more answers
An oblique prism has trapezoidal bases and a vertical height of 10 units. An oblique trapezoidal prism is shown. The trapezoid h
Svet_ta [9500]

Response:

Volume of the trapezoidal prism = 15x^2 cubic units

Detailed explanation:

First, let’s calculate the area of the trapezoidal bases.

The lengths of the parallel sides are x and 2x, averaging to 1.5x.

The height stands at x

Consequently, area of the trapezoidal base comes out to be 1.5x * x = 1.5x^2

The volume of this prism is computed as area of the base multiplied by height

(the length is not a factor, but height certainly is)

Thus, 1.5x^2 * 10 yields 15x^2

5 0
5 days ago
if Marianne's father calls and says he needs 13 pounds of potting soil, how many additional bags should she buy?
Leona [9271]
THE RESULT WOULD BE 10 MORE BAGS
5 0
17 days ago
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Suma numerelor de forma a4b cu produsul cifrelor 24 este egala cu
AnnZ [9099]

Answer:

The correct response is: b)

Step-by-step explanation:

a4b=24, where a × 4 × b = 24 implies a × b = 6

The pairs of numbers with a product of 6 include: {1,6} and {2,3}

In base 10, a4b translates to 100a + 40 + b

Calculating gives us:

100×1+40+6=146

100×6+40+1=641

100×2+40+3=243

100×3+40+2=342

Summing these results yields: 146 + 641 + 243 + 342 = 1372

The correct answer is: b)

6 0
1 month ago
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