Can you help me pleeeeaaaase

Mathematics

2 answers:

bearhunter [10]3 years ago

5 0

The correct answer is b

seropon [69]3 years ago

4 0

B < -3/7

Explanation: subtract 5/7 from 2/7 which you’ll get -3/7.
Since a variable has to be in from switch sign so b is on the left.
Hope this helped

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A telephone exchange operator assumes that 8% of the phone calls are wrong numbers. If the operator is right, what is the probab

Vera_Pavlovna [14]

Answer:

The probability that the sample proportion differ from the population proportion by greater than 3% is 0.0241.

Step-by-step explanation:

Let X = number of phone calls that are wrong numbers.

The proportion of phone calls that are wrong numbers is, p = 0.08.

A sample of n = 421 phone calls is selected to determine the proportion of wrong numbers in this sample.

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

The probability mass function of a Binomial distribution is:

$P(X=x)={421\choose x}0.08^{x}(1-0.08)^{421-x}$

Now, for the sample proportion to differ from the population proportion by 3% the value of the sample proportion should be:

$\hat p-p=0.03\\\hat p-0.08=0.03\\\hat p=0.11$ $\hat p-p=-0.03\\\hat p-0.08=-0.03\\\hat p=0.05$

So when the sample proportion is less than 5% or greater than 11% the difference between the sample proportion and population proportion will be greater than 3%.