# Question: Refer to Problem 5 22 How many cookies in a batch

Refer to Problem 5.22. How many cookies in a batch of 100 should the manager expect to discard if company policy requires that all chocolate- chip cookies sold have at least four chocolate-chip parts?

In problem

Data

Average/Expected number of successes:

6

Poisson Probabilities Table

X

P(X)

P(<=X)

P(P(>X)

P(>=X)

0

0.002479

0.002479

0.000000

0.997521

1.000000

1

0.014873

0.017351

0.002479

0.982649

0.997521

2

0.044618

0.061969

0.017351

0.938031

0.982649

3

0.089235

0.151204

0.061969

0.848796

0.938031

4

0.133853

0.285057

0.151204

0.714943

0.848796

5

(b)

0.445680

(a)

0.554320

(c)

0.160623

0.285057

0.714943

6

0.160623

0.606303

0.445680

0.393697

0.554320

7

0.137677

0.743980

0.606303

0.256020

0.393697

8

0.103258

0.847237

0.743980

0.152763

0.256020

9

0.068838

0.916076

0.847237

0.083924

0.152763

10

0.041303

0.957379

0.916076

0.042621

0.083924

11

0.022529

0.979908

0.957379

0.020092

0.042621

12

0.011264

0.991173

0.979908

0.008827

0.020092

13

0.005199

0.996372

0.991173

0.003628

0.008827

14

0.002228

0.998600

0.996372

0.001400

0.003628

15

0.000891

0.999491

0.998600

0.000509

0.001400

16

0.000334

0.999825

0.999491

0.000175

0.000509

17

0.000118

0.999943

0.999825

0.000057

0.000175

In problem

Data

Average/Expected number of successes:

6

Poisson Probabilities Table

X

P(X)

P(<=X)

P(

P(>=X)

0

0.002479

0.002479

0.000000

0.997521

1.000000

1

0.014873

0.017351

0.002479

0.982649

0.997521

2

0.044618

0.061969

0.017351

0.938031

0.982649

3

0.089235

0.151204

0.061969

0.848796

0.938031

4

0.133853

0.285057

0.151204

0.714943

0.848796

5

(b)

0.445680

(a)

0.554320

(c)

0.160623

0.285057

0.714943

6

0.160623

0.606303

0.445680

0.393697

0.554320

7

0.137677

0.743980

0.606303

0.256020

0.393697

8

0.103258

0.847237

0.743980

0.152763

0.256020

9

0.068838

0.916076

0.847237

0.083924

0.152763

10

0.041303

0.957379

0.916076

0.042621

0.083924

11

0.022529

0.979908

0.957379

0.020092

0.042621

12

0.011264

0.991173

0.979908

0.008827

0.020092

13

0.005199

0.996372

0.991173

0.003628

0.008827

14

0.002228

0.998600

0.996372

0.001400

0.003628

15

0.000891

0.999491

0.998600

0.000509

0.001400

16

0.000334

0.999825

0.999491

0.000175

0.000509

17

0.000118

0.999943

0.999825

0.000057

0.000175

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