Mcqs (probability distribution)

1. MCQs
(Probability Distribution)
NADEEM UDDIN
ASSOCIATE PROFESSOR
OF STATISTICS
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2. 1- In a survey on washing powder. It is found that the probability that a shopper
chooses soapy suds is 0.25. Find the probability that in a random sample of nine
shoppers exactly three choose soapysuds.
a. 0.504 b. 0.234 c. 0.145 d. none
2- On average the school photocopier breaks down eight times during the school
week (Monday to Friday). Find the probability five times in given week.
a. 0.504 b. 0.0814 c. 0.0916 d. none
3- The probability that 1 dial a wrong number when making a telephone call is
0.015. In a typical week I will make 50 telephone calls, find the probability that in
such a week 1 dial no wrong numbers.
a. 0.34 b. 0.47 c. 0.57 d. none
4- If 7 cards are dealt from an ordinary deck of 52 playing cards, what is the
probability that exactly 2 of them will be face cards?
a. 0.3246 b. 0.47 c. 0.57 d. none

3. 5- Given a normal distribution wit µ = 200 and σ = 10 , find the area below 214
a. 0.3246 b. 0.47 c. 0.9192 d. none
6- The probability that a patient recovers from a rare blood disease is 0.6. If 100
people are known to have contracted this disease, what is the probability that less
than one – half survive?
a. 0.3246 b. 0.47 c. 0.0162 d. none
7- The length of certain items follow a normal distribution with mean  cm and
standard deviation 6cm, it is known that 4.78% of the items have length greater
than 82cm. Find the value of the mean  .
a. 60 b. 72 c. 70 d. none
8- For a given binomial distribution with n fixed, if p < 0.5, then:
a. The poisson distribution will provide a good approximation
b. The poisson distribution will provide a bad approximation
c. The binomial distribution will be skewed left
d. The binomial distribution will be skewed right

4. 9- Suppose we have a poison distribution with λ=2. Then probability of having
exactly 10 occurrences is:
𝑎.
2−10 𝑒10
10!
𝑏.
2−10 𝑒−2
2!
𝑐.
102 𝑒−10
10!
𝑑.
210 𝑒−2
10!
10- For a normal curve with µ= 55 and σ = 10, how much area will be found under
the curve to the right of value 55?
a.1.0. b) 0.68. c) 0.5. d) 0.32.
11- Suppose you are using a normal distribution to approximate a binomial
distribution with µ= 5 , σ = 2, and wish to determine the probability of getting
more than seven successes. From the normal table, you would determine the
probability that z is greater than:
a) 1.25. b) 0.5. c) 0.75 d) 1.0.

5. 12- For a normal curve with a mean of 120 and a standard deviation of 35, what
proportion in person of the area under the curve will lie b/w the values 40 and
82?
a) 12.7. b) 85.1. c) 13.8. d) 48.9.
13- Parameters of binomial distribution are
a) n , p. b) n ,q c) n , x. d) 0.32.
14- If p =1/2 then binomial distribution becomes.
a) Negatively skewed b) symmetrical.
c) positively skewed. d) none
15- If p >1/2 then binomial distribution becomes.
a) Negatively skewed b) symmetrical.
c) positively skewed. d) none

6. 16- If p < 1/2 then binomial distribution becomes.
a) Negatively skewed b) symmetrical.
c) positively skewed. d) none
17- If n = 100 and p = 0.6 then the mean of binomial distribution is:
a) 12.7. b) 85. c) 50. d) 60.
18- If n = 100 and p = 0.6 then the variance of binomial distribution is:
a) 24. b) 4.89. c) 50. d) 60.
19- The relation between mean and variance of binomial distribution is
a) Mean < variance b) Mean > variance
c) Mean = variance d) none

7. 20- The parameter of the poisson distribution is :
a)Mean . b) variance . c) n . d) 60.
21- The relation between mean and variance of poisson distribution is
a) Mean < variance b) Mean > variance
c) Mean = variance d) none
22- If the mean of poisson distribution is 5 then the variance is
a) 5. b) 4. c) 2 5. d) none.
23- The shape of normal distribution curve is :
a) ogive shape b) bell shape
c) bar shape d) none
24- The mean and variance of a standard normal distribution are :
a) 0 , 1 . b) same. c) n . d) 60.

8. 1-b 5-c 9-d 13-a 17-d 21-c
2-c 6-c 10-c 14-b 18-a 22-a
3-b 7-b 11-a 15-a 19-b 23-b
4-a 8-d 12-a 16-c 20-a 24-a
Answers