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A mail order company has an 8% success rate. If it mails advertisements to 600 people, find the probability of getting fewer than 40 sales.

Intro Stats / AP Statistics

Chapter 6

The Normal Distribution

Section 4

The Normal Approximation to the Binomial Distribution

Probability Topics

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Lectures

0:00

03:24

Company Mailing Of a compa…

00:37

SALARY CONTRACT A union co…

05:04

A company collects an hono…

00:34

$\begin{aligned} \text { F…

06:36

A college finds that 10% o…

00:45

Multiply. $$(a-8)(a-9)$$

01:42

If a 10% decrease in the p…

01:00

$$(a+8)(a-3)$$

02:24

Multiple Discounts An appl…

02:12

Defective Merchandise Supp…

04:00

A company’s records indica…

00:50

Will a 15 -in. ruler fit i…

00:35

Will a 13 -in. ruler fit i…

Fill in the blanks.$$<…

01:24

Nuts A company says its pr…

02:03

Federal Government Employe…

02:46

Power A drug manufacturer …

00:24

Subtract.$$-8-(-8)…

Suppose that a 5% increase…

00:49

A business wants to standa…

Okay, this is for number 12. We have an equal 600. We have p equals 8% which is 0.8 All right, so first, find the mean end times p 600 times 6000.8 and you should get 48. All right? Now, for the standard deviation, we have the square root of NP, which is 48 times Q, which is one minus p. Okay. And we get 6.65 round off to two decimals, and we want to find the probability that X is less than 40. Okay, for our continuity conversion, when X is less than a number, we have to subtract 0.5 from that number. All right, so 40 becomes 39.5. And that's our new X value. So now when we calculate Z X is 39.5, minus the mean divided by the standard deviation. Okay. And that's gonna equal negative 1.28 All right. And when you look up that score on the Z score table, you should get 0.1003 Okay, that's the probability that X is less than 39.5. That's exactly what we want. So we just convert this to percentage, move the decimal over to places and you get 10.3%.

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