Men's shift sizes are dictated by their neck sizes. Assume that men's neck sizes are

roughly typically conveyed with a mean of 16.2 inches and standard deviation ot 0.9 inch.

A retailer sells men's changes in sizes S, M: L, and XU where the shirt sizes are characterized in the

following table.

Shirt Size

S

XL

15

17

Neck Size

15

< neck size <

< neck size < 16

< neck size < 17

< neck size < 18

a Because the retailer stocks just the sizes recorded in the table, what extent of clients will

track down that the retailer doesn't convey any changes in their sizes?

b Calculate the extent of men whose shift size is M.

c Of 10 arbitrarily chose clients, what is the likelihood that precisely 3 solicitation size M?

26-------------

The director ota refined pearl tarm has gotten an exceptional request peak five pearls between 7

millimeters and 9 millimeters in width. From past experience, the administrator realizes that the

pearls found in his clam bed nave breadths that are typically disseminated with a mean of 8

millimeters and a standard deviation of 2.2 millimeters. Expect that each shellfish contains one

pearl.

a Determine the likelihood ot discovering a pearl of the fitting size in a shellfish chose at

irregular.

b What is the likelihood that the unique request can be filled after arbitrarily choosing and opening

the initial five shellfish?

c What is the likelihood that the director should choose in excess of 10 clams indiscriminately to

take care of the request?

d Before the administrator could give a value peak the pearls: he needed to decide his normal

cost. At the point when he starts to take care of a request, he nas fixed expenses ot $550. He has confirmed that the expense

of choosing a shellfish, looking at it peak a pearl of the proper size, and supplanting the clam is

S60. What is the generally anticipated expense that the director will cause in taking care of the request?

27----------------

Given the cum.llative percemages and he@lt in crawls in the table, a) make a Q-Q plot

the information and b) approximte the nran and the norm

Cum Percentage

3

5

10

25

50

75

90

95

97

a)

z-score

- 1.88

- 1.65

- 1.28

- 0.68

0.68

1.28

1.68

1.88

Ir@'lt (in imlrs)

59.49

60.10

61.03

62.59

64.31

66.02

67.56

68.49

69.08

Q-Q or Quan&-Quai1tde, pbts ue utilized when information slanted and plots tlr z-score of

the percentile from nonml dMrbutk)n, rangilg from at - 3 to 3 where 0 is the

middle on the flat ax: agai1St the obsaved information abng the "upward hub.

Q-QPbt

70

69

68

67

66

65

64

63

62

61

60

59

- 2

- 1.5

- 1

0.5

1

1.5

2

Nonml Qunn&s

The information on heis has a near nonml conveyance: in light of the fact that the information is in ahnost a

stra@lt line. There a sl@lt cuve to the focuses at the low and finishes of the informational index,

in any case, it stdl a solid match a nonml

b)

Utilize the plot to approximte the nran of ffe information, is approximteb' norn'

conveyed. Draw the of best fit ffe he ffat wm pass as tmny information poilts

as could really be expected ushlg a stra@lt edge.

By sta.lting at the O quantde and goilg to ffe lile of best tlrn lef to the

relating he@lt the nran about 64.29 hlches.

Discover the slant of the line of best @ here about 3.68, th the standard deviation

Q-Q Plot

70

69

68

67

66

65

64

63

62

61

60

59

- 2

nran

- 1.5

- 1

T of best fit

2

0.5

Nonml Qun.n&s

1

The nran the norm .6

28---------------

The week after week fix cost, X , for a specific machine has a likelihood thickness work given by

cx(l x),

o,

with estimations in SIOOs.

0

something else

an ay essentially taking a gander at the likelihood thickness work: express the dispersion of X including the

boundaries.

b Find the worth ot c that makes this capacity a substantial likelihood thickness work.

c Find and sketch the dispersion capacity of X.

d What is the likelihood that maintenance costs will surpass S75 during seven days?