(64+28+76)÷6 show how you can calculate the number of 3/4 cup servings

Mathematics

1 answer:

lakkis [162]3 years ago

8 0

$(64 + 28 + 76) \div 6 = 24.66666666666666666$

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A new sample of 225 employed adults is chosen. Find the probability that less than 7.1% of the individuals in this sample hold m

arsen [322]

Answer:

The probability that less than 7.1% of the individuals in this sample hold multiple jobs is 0.0043.

Step-by-step explanation:

Let X = number of individuals in the United States who held multiple jobs.

The probability that an individual holds multiple jobs is, p = 0.13.

The sample of employed individuals selected is of size, n = 225.

An individual holding multiple jobs is independent of the others.

The random variable X follows a Binomial distribution with parameters n = 225 and p = 0.13.

But since the sample size is too large Normal approximation to Binomial can be used to define the distribution of proportion p.

Conditions of Normal approximation to Binomial are:

np ≥ 10
n (1 - p) ≥ 10

Check the conditions as follows:

$np=225\times 0.13=29.25>10\\n(1-p)=225\times (1-0.13)=195.75>10$

The distribution of the proportion of individuals who hold multiple jobs is,

$p\sim N(p, \frac{p(1-p)}{n})$

Compute the probability that less than 7.1% of the individuals in this sample hold multiple jobs as follows:

$P(p$

*Use a z-table.

Thus, the probability that less than 7.1% of the individuals in this sample hold multiple jobs is 0.0043.

7 0

3 years ago

A student is applying to Harvard and Dartmouth. If the student is accepted at Dartmouth, the probability of being accepted at Ha

adell [148]

I made a probability tree. Pls. see attachment.

Based on the probability tree I made, below are the probabilities

Probability of a student accepted at both Dartmouth and Harvard is:
50% x 40% = 20%

Probability of a student accepted at Dartmouth but not Harvard is:
50% x 60% = 30%

Probability of a student not accepted at Dartmouth but accepted in Harvard is:
50% x 20% = 10%

Probability of a student not accepted in both schools is:
50% x 80% = 40%

As you can see, these probabilities total 100%