Advertisements
Advertisements
प्रश्न
Assume that a drug causes a serious side effect at a rate of three patients per one hundred. What is the probability that atleast one person will have side effects in a random sample of ten patients taking the drug?
Advertisements
उत्तर
Here n = 10
p = `3/10`, q = `1 - "p" = 1 - 3/100`
q = `97/100`
The binomial distribution is P(X = x) = ncxpxqn-x
= `10"c"_x (3/100)^x (97/100)^(10 - x)`
Probability that atleast one person will have side effect
= P(X ≥ 1)
= `1 - "P"("X" < 1)`
= `1 - "P"("X" = 0)`
= `1 - [10"c"_0 (3/100)^0 (97/100)^(10 - 0)]`
= `1 - [(1)(1)(97/10)^10]`
= `1 - (0.97)^10`
= `1 - 0.4656`
= 0.5344
APPEARS IN
संबंधित प्रश्न
Define Bernoulli trials
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 find the mean and variance
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 all those selected have newspaper reading habit
The average number of phone calls per minute into the switchboard of a company between 10.00 am and 2.30 pm is 2.5. Find the probability that during one particular minute there will be no phone at all
The distribution of the number of road accidents per day in a city is poisson with mean 4. Find the number of days out of 100 days when there will be no accident
Choose the correct alternative:
If X ~ N(µ, σ2), the maximum probability at the point of inflexion of normal distribution
Choose the correct alternative:
In a parametric distribution the mean is equal to variance is
Choose the correct alternative:
If for a binomial distribution b(n, p) mean = 4 and variance = 4/3, the probability, P(X ≥ 5) is equal to
Choose the correct alternative:
If the area to the left of a value of z (z has a standard normal distribution) is 0.0793, what is the value of z?
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 between $45,000 and $65,000?
