Advertisements
Advertisements
प्रश्न
X is a normally distributed variable with mean µ = 30 and standard deviation σ = 4. Find P(X > 21)
उत्तर
Given X ~ N(µ, σ2)
µ = 30
σ = 4
P(X > 21) = `"P"("Z" > (21 - 30)/4)`
= P(Z > – 2.25)
= 0.5 + P(– 2.25 < Z < 0)
= 0 5 + P(0 < Z < 2.25)
= 0.5 + 0.4878
= 0.9878
APPEARS IN
संबंधित प्रश्न
In a particular university 40% of the students are having newspaper reading habit. Nine university students are selected to find their views on reading habit. Find the probability that atleast two-third have newspaper reading habit
Forty percent of business travellers carry a laptop. In a sample of 15 business travelers, what is the probability that 3 will have a laptop?
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
Write the conditions for which the poisson distribution is a limiting case of binomial distribution
A car hiring firm has two cars. The demand for cars on each day is distributed as a Poison variate, with mean 1.5. Calculate the proportion of days on which neither car is used
Assuming that a fatal accident in a factory during the year is 1/1200, calculate the probability that in a factory employing 300 workers there will be at least two fatal accidents in a year, (given e-0.25 = 0.7788).
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?
Choose the correct alternative:
An experiment succeeds twice as often as it fails. The chance that in the next six trials, there shall be at least four successes is
Hospital records show that of patients suffering from a certain disease 75% die of it. What is the probability that of 6 randomly selected patients, 4 will recover?
X is a normally distributed variable with mean µ = 30 and standard deviation σ = 4. Find P(X < 40)
