Advertisements
Advertisements
Question
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?
Advertisements
Solution
Let x be a normally distributed variable with mean 3,500g and standard deviation 500g
Here µ = 3500 and σ = 500
The standard normal variate z = x
P(weight less than variate 3100g) = P(X < 3100)
When x = 3100
z = `(3100 - 3500)/500`
= `(-400)/500`
= `(-4)/5`
z = – 0.8
∴ P(Z < 3100) = P(Z < -0.8)
= P(`-oo` < z < 0) – P(– 0.8 < z < 0)
= 0.5 – P(0 < z < 0.8)
= 0.5 – 0.2881
= 0.2119
APPEARS IN
RELATED QUESTIONS
Define Binomial distribution
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
Derive the mean and variance of poisson distribution
Mention the properties of poisson distribution
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
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:
In a parametric distribution the mean is equal to variance is
Choose the correct alternative:
If P(Z > z) = 0.5832 what is the value of z (z has a standard normal distribution)?
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?
