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6 C7406

chance of death by wrong diagnosis is 70%. A patient of doctor A, who had disease
B died. What is the chance that his disease was correctly diagnosed?

Module III
13 Seven coins are tossed and number of heads are noted. The experiment is (6) repeated
128 times and the following distribution is obtained. Fit a Binomial distribution to the
following data.

No of heads
7 | 6 | 19 | 35 | 30 | 23 | 7 | 1 |

OR
14 [€ probability that an individual suffers a bad reaction from an injection is (6)
0.001,find the probability that out of 2000 individuals (i)at least 2 (ii ) at most 3 (111 ) none
will suffer from a bad reaction.

Module IV
15 (6)
A continuous random variable has PDF () = (1- ),0< <1
0, A
(i) Find k (ii) Find mean (iii) Find P(0.4< x< 0.6)
OR
16 Of a large group of men,5% are under 60 inches in height and 40% are between
(6)
60 and 65 inches. Assuming normal distribution find mean and standard deviation.
Module V

17 If 1-gallon of a certain paint covers on the average 513.3 ft? andstandard (6) deviation
of 31.5 ft?,what is the probability that the mean area covered by a sample of 40 of these
cans will be anywhere from 510.0 ft? to 520 ft? ?

OR
18 Let the observed values of a random sample of size 9 from a normal distribution (6) be
8.6 , 7.9 8.3, 6.4, 8.4, 9.8, 7.2, 7.8, 7.6 . Construct a 90% confidence interval for

Module VI
19 A filling machine is expected to fill 5 kg of powder into bags. A sample of 5 (6) bags gave
the following weights.4.7, 4.9, 5.0, 5.1, 5.2 Test whether the machine is working properly
OR
20 Intelligence test of two groups gave the following results: (6)

Is the difference in mean scores significant?

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