Advertisements
Advertisements
प्रश्न
X is a normally distributed variable with mean µ = 30 and standard deviation σ = 4. Find P(X < 40)
Advertisements
उत्तर
Given X ~ N(µ, σ2)
µ = 30
σ = 4
P(X < 40) = `"P"("Z" < (40 -30)/4)`
= P(Z < 2.5)
= 0.5 + P(0 < Z < 2.5)
= 0.5 + 0.4938
= 0.9938
APPEARS IN
संबंधित प्रश्न
In a family of 3 children, what is the probability that there will be exactly 2 girls?
If 18% of the bolts produced by a machine are defective, determine the probability that out of the 4 bolts chosen at random none will be defective
Write the conditions for which the poisson distribution is a limiting case of binomial distribution
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
Choose the correct alternative:
The random variable X is normally distributed with a mean of 70 and a standard deviation of 10. What is the probability that X is between 72 and 84?
Choose the correct alternative:
Using the standard normal table, the sum of the probabilities to the right of z = 2.18 and to the left of z = – 1.75 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?
The time taken to assemble a car in a certain plant is a random variable having a normal distribution of 20 hours and a standard deviation of 2 hours. What is the probability that a car can be assembled at this plant in a period of time. Less than 19.5 hours?
The annual salaries of employees in a large company are approximately normally distributed with a mean of $50,000 and a standard deviation of $20,000. What percent of people earn more than $75,000
The birth weight of babies is Normally distributed with mean 3,500g and standard deviation 500g. What is the probability that a baby is born that weighs less than 3,100g?
