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Marat540 [252]
4 years ago
5

A raffle game has a single gran prize that will be drawn randomly from among all the tickets. A total of 500 tickets are sold. I

f a man buys 25 tickets, what is the probability that he will win the grand prize?​
Mathematics
1 answer:
VLD [36.1K]4 years ago
5 0

Step-by-step explanation:

P = 25/500

P = 1/20, or 5%

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The number of typing errors made by a typist has a Poisson distribution with an average of three errors per page. If more than t
damaskus [11]

Answer:

0.6472 = 64.72% probability that a randomly selected page does not need to be retyped.

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}

In which

x is the number of sucesses

e = 2.71828 is the Euler number

\mu is the mean in the given interval.

Poisson distribution with an average of three errors per page

This means that \mu = 3

What is the probability that a randomly selected page does not need to be retyped?

Probability of at most 3 errors, so:

P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)

In which

P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}

P(X = 0) = \frac{e^{-3}*3^{0}}{(0)!} = 0.0498

P(X = 1) = \frac{e^{-3}*3^{1}}{(1)!} = 0.1494

P(X = 2) = \frac{e^{-3}*3^{2}}{(2)!} = 0.2240

P(X = 3) = \frac{e^{-3}*3^{3}}{(3)!} = 0.2240

Then

P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0.0498 + 0.1494 + 0.2240 + 0.2240 = 0.6472

0.6472 = 64.72% probability that a randomly selected page does not need to be retyped.

3 0
3 years ago
If the measurment of the angles of a triangle are 3b,2b,and 4b then what is the smallest angle
d1i1m1o1n [39]

Given:

The measurement of the angles of a triangle are 3b,2b,and 4b.

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The smallest angle.

Solution:

According to the angle sum property, the sum of all angles of a triangle is 180 degrees.

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Divide both sides by 9.

b=20^{\circ}

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3b=3(20^{\circ})=60^{\circ}

2b=2(20^{\circ})=40^{\circ}

3b=4(20^{\circ})=80^{\circ}

Therefore, the smallest angle is 40 degrees.

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3 years ago
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