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 takes at most 500 days to complete the flyover?
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
P(at most 500 days) = P(X ≤ 500 )
When x = 500
z = `(500 - 400)/100 = 100/100` = 1
P(X ≤ 500) = P(Z ≤ 1)
=P(`∞` < z < 0) – r – P(0 < z < 1)
= 0.5 + 0.3415
= 0.8413
APPEARS IN
संबंधित प्रश्न
Out of 750 families with 4 children each, how many families would be expected to have children of both sexes? Assume equal probabilities for boys and girls.
Forty percent of business travellers carry a laptop. In a sample of 15 business travelers, what is the probability that atleast three of the travelers have a laptop?
A pair of dice is thrown 4 times. If getting a doublet is considered a success, find the probability of 2 successes
Consider five mice from the same litter, all suffering from Vitamin A deficiency. They are fed a certain dose of carrots. The positive reaction means recovery from the disease. Assume that the probability of recovery is 0.73. What is the probability that atleast 3 of the 5 mice recover
An experiment succeeds twice as often as it fails, what is the probability that in next five trials there will be three successes
The average number of customers, who appear in a counter of a certain bank per minute is two. Find the probability that during a given minute no customer appears
Write down the conditions in which the Normal distribution is a limiting case of binomial distribution
If the heights of 500 students are normally distributed with mean 68.0 inches and standard deviation 3.0 inches, how many students have height less than or equal to 64 inches
Choose the correct alternative:
If X ~ N(µ, σ2), the maximum probability at the point of inflexion of normal distribution
Choose the correct alternative:
In a parametric distribution the mean is equal to variance is
