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3 years ago

6. Find the odds of an event occurring, given the probability 1/2

Mathematics

1 answer:

Ira Lisetskai [31]3 years ago

7 0

.5

1/(1*2)

hope it help

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You have a biased coin for which p(h)=pp(h)=p. you toss the coin 2020 times. what is the probability that you observe 88 heads a

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The question describes a binomial probability with p(h) = p, then p(t) = 1 - p and number of trials (n) = 20

The probability of a binomial distribution is given by

$P(x)=\, ^nC_xp^x(1-p)^{n-x}$

Part A:

The probability of observing 8 heads and 12 tails is given by:

$P(8)=\, ^{20}C_8p^8(1-p)^{20-8}=\, ^{20}C_8p^8(1-p)^{12}$

Part B:

<span>You observe more than 8 heads and more than 8 tails, when you observe 9 heads and 11 tails, 10 heads and 10 tails, and 11 heads and 9 tails.

Therefore, the probability of </span><span>observing more than 8 heads and more than 8 tails</span> is given by:

$P(9)+P(10)+P(11) \\ \\ =\, ^{20}C_9p^9(1-p)^{20-9}+\, ^{20}C_{10}p^{10}(1-p)^{20-10}+\, ^{20}C_{11}p^{11}(1-p)^{20-11} \\ \\ =\, ^{20}C_9p^9(1-p)^{11}+\, ^{20}C_{10}p^{10}(1-p)^{10}+\, ^{20}C_{11}p^{11}(1-p)^{9}$

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2 years ago

A kitchen sink faucet streams 0.5 gallon of water in 10 seconds. Which faucet will fill a 3 gallon container faster?

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60 secounds, or 1 minute

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On one of the day you went to the gym, the ratio of men to women was 3 : 2.

balu736 [363]

Answer

Find out the how many women were there .

To prove

Let us assume that the x is the scalar multiple of men and women.

As given

The ratio of men to women was 3 : 2.

Than

The total number of men = 3x

The total number of women = 2x

As given

If 120 men used the gym.

thus

120 = 3x

$x = \frac{120}{3}$

x = 40

The total number of women = 2 × 40

= 80

Therefore 80 women were there in the gym .

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A number expressible in the form a/b where a and b are integers

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Answer:

Step-by-step explanation:

Rational Numbers are defined as set of numbers that can be written as a/b.

where,

a and b are integers, but b is not equal to 0; an integer or a fraction.

Also, a rational number is a number that is expressed as the quotient or fraction a/b of two integers, where a numerator a and a non-zero denominator b is found. Since a may be equal to 1, every integer is a rational number.

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Angie’s Bake Shop makes birthday chocolate chip cookies that cost $2 each. Angie expects that 10% of the cookies will crack and

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Answer:

Step-by-step explanation:

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6. Find the odds of an event occurring, given the probability 1/2​

6. Find the odds of an event occurring, given the probability 1/2