It is known that screws produced by a certain company will be defective with probability 0.0

5

independently of each other. The company sells the screws in packages of

n=

10. What is the

probability that

(a)

1

of 10 screws is defective;

(b)

at

least

2

of 10 screws are

defective?

(c)

anywhere from

2

to

7

, inclusive, will be defective

if n is

changed to n=

12, 13, 14, and 15

.

You must c

omplete Excel/Matlab programming statements

for

n=

12, 13, 14, and 15

.

2.

If

8

of 1

9

tires

are defective, what is the probability that an inspector, who randomly select

n=

5

of

tires

for inspection

without replacement

, will find

(a)

none

of

tires

is

defective;

(b) two of the

tires

are defective;

(c) at

most two

of the

tires

are defective?

(d) at least three of the

tires

are

defective if n= 6, 7,

8

,

and 9

tires

are selected for inspection?

You

must complete Excel/

Matlab programming

statements

for this part.

3

.

If on the average there are

4

accidents per week on a given expressway, find

(a)

the probability that at

most

n=

10

accidents will occur per month

.

(b) the p

robability that at

leas

t n= 11,12,13,14,15,16, and 17

accidents will occur per month. You

must show the Excel/Matlab programming statements for the answers.