Advertisements
Advertisements
प्रश्न
Time taken by a construction company to construct a flyover is a normal variate with mean 400 labour days and a standard deviation of 100 labour days. If the company promises to construct the flyover in 450 days or less and agree to pay a penalty of ₹ 10,000 for each labour day spent in excess of 450. What is the probability that the company pay a penalty of at least ₹ 2,00,000?
Advertisements
उत्तर
Let x be a normal variate with mean 400 labour days and standard deviation of 100 labour days
m = 400 and σ = 100
The construction work should be completed within 450 days.
The standard normal variate
= `(x - mu)/6 = (x - 400)/100`
Personality for 1 labour day = ₹ 10,000
If personality amount is = 2,00,000 than No of excess
Days = `200000/10000` = 20
∴ x = 450 + 20 = 470
When x = 470
z = `(470 - 400)/100 = 70/100` = 0.7
= P(X ≥ 470) = P(Z ≥ 0.7)
= 0.5 – 0.2580
= 0.2420
APPEARS IN
संबंधित प्रश्न
The mean of a binomial distribution is 5 and standard deviation is 2. Determine the distribution
An experiment succeeds twice as often as it fails, what is the probability that in next five trials there will be three successes
It is given that 5% of the electric bulbs manufactured by a company are defective. Using poisson distribution find the probability that a sample of 120 bulbs will contain no defective bulb
A car hiring firm has two cars. The demand for cars on each day is distributed as a Posison variate, with mean 1.5. Calculate the proportion of days on which some demand is refused
In a photographic process, the developing time of prints may be looked upon as a random variable having the normal distribution with a mean of 16.28 seconds and a standard deviation of 0.12 second. Find the probability that it will take less than 16.35 seconds to develop prints
Choose the correct alternative:
If X ~ N(9, 81) the standard normal variate Z will be
Choose the correct alternative:
If Z is a standard normal variate, the proportion of items lying between Z = – 0.5 and Z = – 3.0 is
Choose the correct alternative:
In a parametric distribution the mean is equal to variance is
A manufacturer of metal pistons finds that on the average, 12% of his pistons are rejected because they are either oversize or undersize. What is the probability that a batch of 10 pistons will contain no more than 2 rejects?
A manufacturer of metal pistons finds that on the average, 12% of his pistons are rejected because they are either oversize or undersize. What is the probability that a batch of 10 pistons will contain at least 2 rejects?
