Statistics And Probability

A batsman scores runs in 10 innings as 38,70,48,34,42,55,63,46,54 and 44 , then the mean score is:
1. 49.4
2. 494
3. 4.94
4. 0.494
The S.D. of the observations 22,26,28,20,24,30 is:
1. 3.42
2. 3
3. 2.4
4. 2
The mean of 5 observations is 4.4. If three observations are 1,2 and 6 and the difference of the other two is 5, then the other two observations are:
1. 5 and 9
2. 4 and 8
3. 5 and 7
4. 9 and 4
Coefficient of correlation between the observations ( 1, 6 ) , ( 2 , 5 ) , ( 3 , 4) , ( 4 , 3 ) , ( 5 , 2 ) , ( 6 , 1 ) is:
1. 1
2. 0
3. - 1
4. None of these
There are 5 red and 3 black balls in a bag. Probability of drawing a black ball is:
1. $\frac{5}{8}$
2. $\frac{1}{2}$
3. $\frac{3}{8}$
4. None of these
If the probability of winning a game is 0.3, then probability of losing it is:
1. 0.6
2. 0.7
3. 0.5
4. None of these
Probability of drawing a 10 number card of a black suit from a deck of 52 cards is:
1. $\frac{1}{52}$
2. $\frac{1}{26}$
3. $\frac{1}{13}$
4. None of these
For a moderately skewed distribution, quartile deviation and the standard deviation are related by:
1. S. D. = 4/3 Q. D.
2. S. D. = 3/2 Q. D.
3. S. D. = 2/3 Q. D.
4. S. D. = 3/4 Q. D.
There are 50 tickets numbered from 1 to 50 in a box. Probability of drawing a ticket bearing prime number is:
1. $\frac{13}{50}$
2. $\frac{3}{10}$
3. $\frac{17}{50}$
4. None of these
Probability of a leap year having 53 Sundays is:
1. $\frac{1}{7}$
2. $\frac{3}{7}$
3. $\frac{2}{7}$
4. None of these
Which one of the following average is most affected of extreme observations ?
1. A. M.
2. G. M.
3. Median
4. Mode
The Mode of the following items is 0, 1, 6, 7, 2, 3, 7, 6, 6, 2, 6, 0, 5, 6, 0.
1. 6
2. 2
3. 0
4. 5
Two players toss four coins each. The probability that both obtain the same number of heads is:
1. $\frac{5}{256}$
2. $\frac{1}{16}$
3. $\frac{35}{128}$
4. $\frac{110}{256}$
A bag has 4 red balls and 2 yellow balls. A ball is drawn from the bag without into the bag. What is the probability of getting a red ball?
1. $\frac{2}{3}$
2. $\frac{1}{6}$
3. $\frac{1}{3}$
4. 1
A cubical dice has 3 on three faces, 2 on two faces and 1 on the $6^{t h}$ face. It is tossed twice. The chance that both the tosses show an even number is:
1. $\frac{1}{36}$
2. $\frac{5}{36}$
3. $\frac{1}{9}$
4. $\frac{1}{4}$
A and B take turn in throwing a pair of dice. A wins if he throws a total of 5 before B throws a total of 7. If A has the first throw, the probability of his winning the game is:
1. $\frac{4}{7}$
2. $\frac{9}{41}$
3. $\frac{9}{11}$
4. $\frac{3}{7}$
Cards are marked with numbers 1 to 25 are placed in the box and mixed thoroughly. One card is drawn at random from the box. What is the probability of getting a multiple of 5?
1. 1
2. 0
3. $\frac{1}{5}$
4. $\frac{1}{25}$
Cards are marked with numbers 1 to 25 are placed in the box and mixed thoroughly. One card is drawn at random from the box. What is the probability of getting an even number?
1. 1
2. 0
3. $\frac{12}{25}$
4. $\frac{13}{25}$
Cards are marked with numbers 1 to 25 are placed in the box and mixed thoroughly. One card is drawn at random from the box. What is the probability of getting a prime number?
1. $\frac{8}{25}$
2. $\frac{9}{25}$
3. $\frac{12}{25}$
4. $\frac{13}{25}$
A drawer contains 5 black socks and 4 blue socks well mixed. A person searches the drawer and pulls out 2 socks at random. The probability that they match is:
1. $\frac{4}{9}$
2. $\frac{5}{9}$
3. $\frac{41}{81}$
4. $\frac{6}{9}$
The probability of the events lies between:
1. $- 1 \leq p \leq 1$
2. $0 \leq p \leq 1$
3. $- 1 \leq p \leq 0$
4. $- 1 < p \leq 1$
Twelve bags of wheat flour, each marked 5 kg, actually contained the following weights of flour (in kg):
4.97, 5.05, 5.08, 5.03, 5.00, 5.06, 5.08, 4.98, 5.04, 5.07, 5.00, 5.12
Find the probability that any of these bags chosen at random contains more than 5 kg of flour.
1. $\frac{1}{12}$
2. $\frac{7}{12}$
3. $\frac{2}{3}$
4. None of these
A company selected 4000 households at random and surveyed them to find out a relationship between income level and the number of mobile sets in a home. The information so obtained is listed in the following table:

Find the probability of a household earning Rs 10000 – Rs 14999 per year and having exactly one mobile set.
1. 0.06
2. 0.08
3. 0.04
4. 0
A company selected 4000 households at random and surveyed them to find out a relationship between income level and the number of mobile sets in a home. The information so obtained is listed in the following table:

Find the probability of a household earning more than 25000 per year and having exactly 2 mobile set.
1. 0.2
2. 0.19
3. 0.12
4. 0.3
A company selected 4000 households at random and surveyed them to find out a relationship between income level and the number of mobile sets in a home. The information so obtained is listed in the following table:

Find the probability of a household earning more than 25000 per year and having 2 or more mobile set.
1. 0.245
2. 0.3
3. 0.1
4. None of these
A company selected 4000 households at random and surveyed them to find out a relationship between income level and the number of mobile sets in a home. The information so obtained is listed in the following table:

Find the probability of a household having no mobile set at all.
1. $\frac{3}{4000}$
2. $\frac{1}{400}$
3. $\frac{3}{200}$
4. $\frac{3}{400}$
Twenty four people had a blood test and the results are shown below:

If a person is selected randomly from the group of twenty four people, what is the probability that his/her blood type is not O?
1. $\frac{17}{24}$
2. $\frac{12}{24}$
3. $\frac{7}{24}$
4. $\frac{11}{24}$
On the page of a telephone directory, there were 200 telephone numbers. The frequency distribution of their unit place digit (for example, in the number 55828573, the unit place is 3) is given in the table below:

A number is chosen at random, find the probability that the digit at the unit’s place is 9:
1. $\frac{3}{10}$
2. $\frac{1}{100}$
3. $\frac{1}{10}$
4. None of these
On the page of a telephone directory, there were 200 telephone numbers. The frequency distribution of their unit place digit (for example, in the number 55828573, the unit place is 3) is given in the table below:

A number is chosen at random, find the probability that the digit at the unit’s place is a non- zero multiple of 3:
1. $\frac{7}{25}$
2. $\frac{9}{25}$
3. 1
4. 0
A tyre manufacturing company kept a record of the distance covered before a tyre to be replaced. Following table shows the results of 1000 cases:

If you buy a tyre of this company, what is the probability that it will last more than 900 km?
1. $\frac{91}{200}$
2. 1
3. $\frac{93}{200}$
4. None of these

Statistics And Probability

Quiz