## Question 50

If *U* ={*x*: *x* is an integer and 1≤ *x *≤ 20}

*E*_{1} = {*x:* *x* is a multiple of 3}

*E*_{2} = {*x*: *x* is a multiple of 4}

and an integer is picked at random from *U*, find the probability that it is not in *E*_{2}

If *U* ={*x*: *x* is an integer and 1≤ *x *≤ 20}

*E*_{1} = {*x:* *x* is a multiple of 3}

*E*_{2} = {*x*: *x* is a multiple of 4}

and an integer is picked at random from *U*, find the probability that it is not in *E*_{2}

X and Y are two events. The probability of X or Y is 0.7 and the probability of X is 0.4. If X and Y are independent. Find the probability of *Y*

In how many ways can the word “MATHEMATICS” be arranged?

In how many can a delegation of 3 be chosen from among 5 men and 3 women. If at least one man and at least one woman must be included.

The variance of *x,* 2*x*, 3*x*, 4*x* and 5*x* is

If the mean of number 0, *x*, *x *+ 2, 3*x *+ 6, and 4*x *+ 8 is 4. Find the mean deviation

Find the sum of the range and mode of the set of numbers 10,5, 10, 9,8, 7,7,10, 8,10, 8,4, 6,9,10,9,10,9,7,10,6,5.

Interval(Years) |
10–12 |
13–15 |
16–18 |
19– 20 |
21–23 |

No of Pupils |
6 |
14 |
15 |
10 |

Interval(Years) |
10–12 |
13–15 |
16–18 |
19– 20 |
21–23 |

No of Pupils |
6 |
14 |
15 |
10 |

No |
1 |
2 |
3 |
4 |
5 |
6 |

Frequency |
30 |
43 |
54 |
40 |
41 |
32 |

A dice is rolled 240 times and the result depicted in the table above. If a pie chart is constructed to represent the data, the angle corresponding to 4 is