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NemiM [27]
3 years ago
15

Choose the right answer. Two hundred fifty tickets are sold at a church fund raiser. If Sarah buys 15 tickets, the probability t

hat she will win the prize quilt is .
Mathematics
2 answers:
Luba_88 [7]3 years ago
8 0

Answer:

Her probability to win the prize quilt is 0.06, or she has a 6% probability of winning it.

Step-by-step explanation:

In statistics, <u>a probability of 100% is represented with a 1</u>. In this case, <em>if Sarah would have bought the 250 tickets, she would have a probability of 1 to win the prize</em>, as

\frac{250}{250}=1

then, <em>if this expression is multiplied by 100, we could say that the precentage of probability would have been 100%</em>...

But <u>Sarah didn't buy the 250 tickets</u>, instead she bought 15, therefore

\frac{15}{250}=\frac{3}{50}=0.06

which means that the probability of her winning the prize quilt is 0.06, or, <em>if multiplied by 100, she has a 6% probability of winning the prize quilt</em>.

Murljashka [212]3 years ago
6 0
There is a 3/50 or 6% chance that sara will win the prize. 
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a. E(X) = 54.4

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Step-by-step explanation:

a.

    E(X) = np = .40 probability * 136 trials = 54.4 blocked transmissions

    To get the expected value, we simply multiply probability times number of trials. You can look at it in simple terms by thinking if there's a 50% chance of flipping heads and you flip a coin twice, in an ideal world you will have .5*2 = 1 head.

b.

    i. Let X represent the number of suspicious transmissions reviewed until finding the first blocked one. We will use a geometric distribution to model the "first" transmission. Whenever we're looking for the "first" time something happens, we use geometric.

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c.

    i. Let Y represent the exact number of blocked transmissions out of 10. We will use a binomial distribution to model the "fixed" number of transmissions. Whenever we're looking for a "fixed" number of times something happens, we use binomial.

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        As for calculator notation, the n choose k can be accessed on a TI-84 via MATH -> PRB -> nCr. It looks like 10 nCr 2 on the display.

        Hence the probability that two transactions out of ten will be blocked is .0016 by the binomial model.

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