Engineering Mathematics Test 9

Question 1
1 / -0

Three students A, B and C are in a swimming race. A and B have the same probability of winning and each is twice as likely to win as C. Find the probability that B or C wins.

A
0.2

B
0.4

C
0.6

D
0.8

Question 2
1 / -0

A box contains 5 red and 10 green balls. Eight (8) of them are placed in another box. The chances that the latter box contains 2 red and 6 green balls are ____

A
240/429

B
140/367

C
140/429

D
240/367

Question 3
1 / -0

A box contains 7 apple pieces and 5 orange pieces. The pieces of fruit are taken out of the box, one at a time and in a random order. What is the probability that the bowl will be empty after the last apple is taken from the box?

A
\(\frac{5}{{12}}\)

B
\(\frac{7}{{12}}\)

C
\(\frac{1}{2}\)

D
\(\frac{2}{3}\)

Question 4
1 / -0

An insurance company floats an insurance policy for an eventually taking place with probability 0.05 over the period of policy. If the sum insured is Rs. 100000 then what should be the premium so that the expected earning of the insurance company is Rs. 1000 per policy sold?

A
5999-6001

B
59994-60011

C
59997-60016

D
59999-60012

Question 5
1 / -0

A survey of people in given region showed that 25% drank regularly. The Probability of death due to liver disease, given that a person drank regularly, was 6 times the probability of death due to liver disease, given that a person did not drink regularly. The Probability of death due to liver disease in the region is 0.005. If a person dies due to liver disease, what is the probability that he / she drank regularly

A
0.66-0.67

B
0.664-0.671

C
0.667-0.676

D
0.669-0.672

Question 6
1 / -0

Let X be a continuous random variable with PDF
\({f_x}\left( x \right) = \left\{ {\begin{array}{*{20}{c}} {4{x^3}\;\;\;\;0 < x \le 1}\\ {0\;\;\;\;\;otherwise} \end{array}} \right.\)
The value of \(P\left( {X \le \frac{2}{3}{\rm{|}}X > \frac{1}{3}} \right)\;\)is

A
\(\frac{1}{9}\)

B
\(\frac{5}{{27}}\)

C
\(\frac{5}{{16}}\)

D
\(\frac{3}{{16}}\)

Question 7
1 / -0

Let X be a continuous random variable with PDF
\({f_x}\left( x \right) = \left\{ {\begin{array}{*{20}{c}}{{x^2}\left( {kx + \frac{3}{2}} \right)\;\;\;\;\;\;\;0 < x \le 1}\\{0\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;otherwise}\end{array}} \right.\)
The value of \(var\left( {\frac{1}{x}} \right)\) is ____

A
\(\frac{{71}}{{144}}\)

B
\(\frac{{71}}{{72}}\)

C
\(\frac{{71}}{{36}}\)

D
\(\frac{{71}}{{54}}\)

Question 8
1 / -0

Marie is getting married tomorrow, at an outdoor ceremony in the desert. In recent years. It has rained only 5 days each year. Unfortunately, the weatherman has predicted rain for tomorrow.
When it actually rains, the weatherman correctly forecasts rain 90 percent of the time. When it doesn’t rain, he incorrectly forecasts rain 10 percent of the time.
The probability that it will rain on the day of Marie’s wedding is

A
0.567

B
0.113

C
0.332

D
0.732

Question 9
1 / -0

A Discrete Random Variable x has the probability distribution as shown:
x
-6
4
6
P(X = x)
\(\frac{1}{6}\)
\(\frac{1}{2}\)
\(\frac{1}{3}\)

The standard deviation of x is –

A
4.1-4.3

B
4.14-4.31

C
4.17-4.36

D
4.19-4.32

Question 10
1 / -0

There are two identical locks, with two identical keys and the keys are among the six different ones which a person carries in his pocket. In a hurry he drops one key somewhere. Then the probability that locks can still be opened by drawing one key at random is equal to

A
1/3

B
5/6

C
1/30

D
1/12

Submit Test

x	-6	4	6
P(X = x)	\(\frac{1}{6}\)	\(\frac{1}{2}\)	\(\frac{1}{3}\)

Engineering Mat...

Question 1

0.2

0.4

0.6

0.8

Question 2

240/429

140/367

140/429

240/367

Question 3

\(\frac{5}{{12}}\)

\(\frac{7}{{12}}\)

\(\frac{1}{2}\)

\(\frac{2}{3}\)

Question 4

5999-6001

59994-60011

59997-60016

59999-60012

Question 5

0.66-0.67

0.664-0.671

0.667-0.676

0.669-0.672

Question 6

\(\frac{1}{9}\)

\(\frac{5}{{27}}\)

\(\frac{5}{{16}}\)

\(\frac{3}{{16}}\)

Question 7

\(\frac{{71}}{{144}}\)

\(\frac{{71}}{{72}}\)

\(\frac{{71}}{{36}}\)

\(\frac{{71}}{{54}}\)

Question 8

0.567

0.113

0.332

0.732

Question 9

4.1-4.3

4.14-4.31

4.17-4.36

4.19-4.32

Question 10

1/3

5/6

1/30

1/12

User

Question Analysis

Results Announcement on: coming Monday

Stay Tuned: We’ll update you on your result via email or SMS.