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wariber [46]
2 years ago
14

An office manager has received a report from a consultant that includes a section on equipment replacement. The report indicates

that scanners have a service life that is normally distributed with a mean of 41 months and a standard deviation of 4 months. On the basis of this information, determine the percentage of scanners that can be expected to fail in the following time periods:
a. Before 38 months of service
b. Between 40 and 45 months of service
c. Within ± 2 months of the mean life
Business
1 answer:
goldenfox [79]2 years ago
5 0

Answer:

a) 22.663%

b) 44%

c) 38.3%

Explanation:

An office manager has received a report from a consultant that includes a section on equipment replacement. The report indicates that scanners have a service life that is normally distributed with a mean of 41 months and a standard deviation of 4 months. On the basis of this information, determine the percentage of scanners that can be expected to fail in the following time periods:

We solve the above question using z score formula

z = (x-μ)/σ, where

x is the raw score

μ is the population mean = 41 months

σ is the population standard deviation = 4 months

a. Before 38 months of service

Before in z score score means less than 38 months

Hence,

z = 38 - 41/4

z = -0.75

Probability value from Z-Table:

P(x<38) = 0.22663

Converting to percentage = 0.22663 × 100

= 22.663%

b. Between 40 and 45 months of service

For x = 40 months

z = 40 - 41/4

z = -0.2

Probability value from Z-Table:

P(x = 40) = 0.40129

For x = 45

z = 45 - 41/4

z = 1

Probability value from Z-Table:

P(x = 45) = 0.84134

Between 40 and 45 months of service

= 0.84134 - 0.40129

= 0.44005

Converting to Percentage

= 0.44005 × 100

= 44.005%

= 44%

c. Within ± 2 months of the mean life

+ 2 months = 41 months + 2 months

= 43 months

- 2 months = 41 months - 2 months

= 39 months

For x = 43

z = 43 - 41 /4

z = 0.5

P-value from Z-Table:

P(x = 43) = 0.69146

For x = 39

z = 39 - 41/4

z = -2/4

z = -0.5

Probability value from Z-Table:

P(x = 39) = 0.30854

Within ± 2 months of the mean life

= 0.69146 - 0.30854

= 0.38292

= 38.3%

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Answer:

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Explanation:

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Sales forecasts helps companies to make better business decisions so as to analyse the short-term and long-term performance.

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6 0
3 years ago
An investor sells short 200 shares of ABC stock at $5.25 a share. He sells two put contracts (100 shares each) with a striking p
lakkis [162]

Answer:

The solution of the given query is provided below in the explanation segment.

Explanation:

(a)

The diagram according to the given query is attached below.

(b)

Given:

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at,

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Strike price,

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2 years ago
Ramirez Company installs a computerized manufacturing machine in its factory at the beginning of the year at a cost of $48,400.
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Answer:the machine’s second-year depreciation and year end book value under the straight-line method is $3,990 and$40,420 respectively.

Explanation:

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Depreciation=($48,400- $9,000)/10=$3,990

The depreciation expense each year would be $3990

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Book value = Cost of asset - (2 years x depreciation)

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Therefore, the machine’s second-year depreciation and year end book value under the straight-line method is $3,990 and$40,420 respectively.

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The depreciation of equipment will require an adjustment that results in A. total assets increasing and total expenses increasin
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The answer is D. Total assets decreasing since they're depreciated. But total expenses will increase for sure in order to replace the depreciated equipment.
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.Cantlivia is a small and poor nation, but its current prime minister has a desire to create more wealth for her citizens. The p
makkiz [27]
<h2>Establish a business environment that promotes and rewards is the choice which the Prime Minister likely to choose.</h2>

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The motto here is to increase the wealth of the country.

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