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2 years ago

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Kevin buys a bag of cookies that contains 8 chocolate chip cookies, 9 peanut butter cookies, 5 sugar cookies and 4 oatmeal cooki

es. What is the probability that Kevin randomly selects a chocolate chip cookie from the bag, eats it, then randomly selects an oatmeal cookie

1 answer:

IrinaVladis [17]2 years ago

5 0

Answer:

4/13 or 30.769%

Step-by-step explanation:

You might be interested in

How do you find the lowest common denominator for 8/15 + 2/12?

salantis [7]

The lowest common denominator for 15 and 12 will get in this way

15=3*5
12 = 3*4

LCM will be 3*4*5=12*5=60

5 0

3 years ago

20% of US High School teens vape. A local High School has implemented campaigns to reduce vaping among students and believes tha

zaharov [31]

Answer:

10.93% probability of observing 51 or fewer vapers in a random sample of 300

Step-by-step explanation:

I am going to use the normal approximation to the binomial to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

$E(X) = np$

The standard deviation of the binomial distribution is:

$\sqrt{V(X)} = \sqrt{np(1-p)}$

Normal probability distribution

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

When we are approximating a binomial distribution to a normal one, we have that $\mu = E(X)$ , $\sigma = \sqrt{V(X)}$ .

In this problem, we have that:

$n = 300, p = 0.2$

So

$\mu = E(X) = np = 300*0.2 = 60$

$\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{300*0.2*0.8} = 6.9282$

What is the approximate probability of observing 51 or fewer vapers in a random sample of 300?

Using continuity corrections, this is $P(X \leq 51 + 0.5) = P(X \leq 51.5)$ , which is the pvalue of Z when X = 51.5 So

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{51.5 - 60}{6.9282}$

$Z = -1.23$

$Z = -1.23$ has a pvalue of 0.1093.

10.93% probability of observing 51 or fewer vapers in a random sample of 300

4 0

3 years ago

(6•11)2 •2-4(-2+14)2-12 simplest terms

Ksju [112]

Answer:

\frac{13+\left(-3\right)^2+4\left(-3\right)+1-\left[-10-\left(-6\right)\right]}{\left[4+5\right]\div \left[4^2\:−\:3^2\left(4−3\right)−8\right]+12}

Step-by-step explanation:

\frac{13+\left(-3\right)^2+4\left(-3\right)+1-\left(-10-\left(-6\right)\right)}{\frac{4+5}{\left(4^2-3^2\left(4-3\right)-8\right)+12}}

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3 years ago

Which is the graph of f (x) = f (one-half) Superscript x? On a coordinate plane, an exponential decay function decreases from qu

devlian [24]

Answer:

answer is B. :)

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2 years ago

Read 2 more answers

Whoever answers right gets brainliest

Softa [21]

Answer:

37

Step-by-step explanation:

Split the arrow into a rectangle and triangle. The area of the rectangle is 7x4=28. The area of the triangle is 6*3/2=9. 28+9=37

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2 years ago