Advertisements
Advertisements
प्रश्न
Forty percent of business travellers carry a laptop. In a sample of 15 business travelers, what is the probability that 12 of the travelers will not have a laptop?
Advertisements
उत्तर
Given n = 5
p = `40/10 = 2/5`
q = 1 – p = `1 - 2/5 = (5-2)/5 = 3/5`
The binomial distribution P(X = x) = `15"c"_x (2/5)^x (3/5)^(15 - x)`
P(12 of the travels will not have a laptop)
= 1 – P(X = 12)
= `1 - 15"c"_12 (2/5)^12(3/5)^(15 - 12)`
= `1 - 15"c"_3 (2/5)^12 (3/5)^3`
= `1 - ((15 xx 14 xx 13)/(1 xx 2 xx 3)) [((2)^12 (3)^3)/(5)^15]`
= `1 - 455 ((4096 xx 27)/(3.055 xx 10^10))`
= `1 - 50319360/300550000000`
= `1 - 0.001647`
= 0.99835
APPEARS IN
संबंधित प्रश्न
In a family of 3 children, what is the probability that there will be exactly 2 girls?
Among 28 professors of a certain department, 18 drive foreign cars and 10 drive local made cars. If 5 of these professors are selected at random, what is the probability that atleast 3 of them drive foreign cars?
Out of 750 families with 4 children each, how many families would be expected to have atleast one boy
An experiment succeeds twice as often as it fails, what is the probability that in next five trials there will be three successes
Mention the properties of poisson distribution
Write down the conditions in which the Normal distribution is a limiting case of binomial distribution
Choose the correct alternative:
The parameters of the normal distribution f(x) = `(1/sqrt(72pi))"e"^(-(x - 10)^2)/72 - oo < x < oo`
A manufacturer of metal pistons finds that on the average, 12% of his pistons are rejected because they are either oversize or undersize. What is the probability that a batch of 10 pistons will contain no more than 2 rejects?
Entry to a certain University is determined by a national test. The scores on this test are normally distributed with a mean of 500 and a standard deviation of 100. Raghul wants to be admitted to this university and he knows that he must score better than at least 70% of the students who took the test. Raghul takes the test and scores 585. Will he be admitted to this university?
X is a normally distributed variable with mean µ = 30 and standard deviation σ = 4. Find P(30 < X < 35)
