Advertisements
Advertisements
Question
X is a normally distributed variable with mean µ = 30 and standard deviation σ = 4. Find P(30 < X < 35)
Advertisements
Solution
Given X ~ N(µ, σ2)
µ = 30
σ = 4
P(30 < X < 35) = ?
When x = 30
z = `(35 - 30)/4 = 5/4` = 1.25
P(30 < x < 35) = P(0 < z < 1.25)
= 0.3944
APPEARS IN
RELATED QUESTIONS
If 5% of the items produced turn out to be defective, then find out the probability that out of 20 items selected at random there are atleast two defectives
Out of 750 families with 4 children each, how many families would be expected to have atleast one boy
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
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 three or more customers appear
Define Normal distribution
In a distribution 30% of the items are under 50 and 10% are over 86. Find the mean and standard deviation of the distribution
Choose the correct alternative:
Normal distribution was invented by
Choose the correct alternative:
Forty percent of the passengers who fly on a certain route do not check in any luggage. The planes on this route seat 15 passengers. For a full flight, what is the mean of the number of passengers who do not check in any luggage?
Choose the correct alternative:
The weights of newborn human babies are normally distributed with a mean of 3.2 kg and a standard deviation of 1.1 kg. What is the probability that a randomly selected newborn baby weight less than 2.0 kg?
