The probability of someone buying a particular newspaper in a town is 0.4. Out of 80 customers who come into a shop, what is the probability of at most 26 customers buy this newspaper? Use the normal distribution to approximate the binomial distribution. a) 0.8924 b) 0.1076 c) 0.9550 d) 0.0445

Answers

Answer 1

Answer:

Answer: Therefore, none of the given options (a) 0.8924, b) 0.1076, c) 0.9550, d) 0.0445) is correct. The correct probability is approximately 0.0968.

Step-by-step explanation:

To find the probability of at most 26 customers buying the newspaper out of 80 customers, we need to use the normal distribution to approximate the binomial distribution.

Given that the probability of someone buying the newspaper is 0.4, we can calculate the mean and standard deviation for the binomial distribution.

Mean (μ) = n * p

μ = 80 * 0.4

μ = 32

Standard Deviation (σ) = √(n * p * q)

σ = √(80 * 0.4 * 0.6)

σ ≈ 4.62

To approximate the binomial distribution using the normal distribution, we can use the continuity correction and calculate the z-score.

Z = (x - μ + 0.5) / σ

Where x is the number of customers (26 in this case)

Z = (26 - 32 + 0.5) / 4.62

Z ≈ -1.30

Using a standard normal distribution table or a calculator, we can find the probability associated with the z-score of -1.30.

The probability of at most 26 customers buying the newspaper is approximately 0.0968.

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Carol Byrd gets a student rate of $30.00 a month. There is a $250 deductible; but no coinsurance payment. She recently received treatment for a covered condition. The bill was $2,300.00. Carol's insurance company provided payment of 80% of the bill less the deductible. What was the company's payment? ________

What was Carol's total cost (ignoring the monthly premium)? ____________

Answers

Bill = $2,300
Deductible = $250
$2,300 - $250 = 2050
Take 80% of $2,050
80*2050 = $1640
Now $2050 - $1640
Coral = $410.

Hope this helps :)

Answer: The company's payment was $1640,

and Carol's total cost was $410.

Step-by-step explanation:

since we have given that

Bill amount = $2300

Amount of deductible = $250

Remaining amount is given by

$\$2300-\$250\n\n=\$2050$

Since Carol's insurance company provided paid 80% of the bill less the deductible.

So, the company's payment is given by

$(80)/(100)* 2050\n\n=0.8* 2050\n\n=\$1640$

And Carol's total cost after the payment of company is given by

$\$2050-\$1640=\$410$

Hence, the company's payment was $1640,

and Carol's total cost was $410.

If h(x) = x − 1 and j(x) = −4x, solve h[j(5)] and select the correct answer below.−21
−20
−19
−16

Answers

Answer:

Option A is correct

$h[j(5)] = -21$

Step-by-step explanation:

Given the functions:

$h(x) = x-1$ and

$j(x) = -4x$

Find the value of $h[j(5)]$

$h[j(x)]$

⇒ $h[-4x]$

Replace x with -4x in h(x) we have;

$h[j(x)] = -4x-1$

Substitute x = 5 we have;

$h[j(5)] = -4(5)-1$

⇒ $h[j(5)] = -20-1=-21$

Therefore, the value of $h[j(5)]$ is, -21

-21. J(x)= -4(5)= -20 ; H[J(5)]= -20-1 = -21

Add parentheses to the expression so that its value is 45:5 × 4 + 8 - 3

5 × (4 + 8 - 3)
5 × (4 + 8) - 3
5 × 4 + (8 - 3)
no parentheses are needed

Answers

your answer is 5×(4+8-3) ...
4+8 =12-3=9 and 9 ×5 =45

Answer: 5×(4+8-3) ...

4+8 =12-3=9 and 9 ×5 =45

Step-by-step explanation:

1) Which line has a negative slope?2) Which line has a slope of zero

3) Which line has a y- intercept at (0, -2) ?

4) Which line has a slope of 1/2

5) Which line is the graph of the equation y = 3x

6) Which line is the graph of the equation y = x + 3?

Answers

1.line a
2.line c
3.line c
4.line b
5.line d
6.line a

Answer:

C has a slope of zero

B has slope 1/2

A furniture store marks up the price of a desk lamp by 80% from $35. What is the new retail price?