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Jethalal

Jethalal

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INSTANT ANSWER

In an office, 1100 people work from which 600 are mele and the remaining are female, 50 percent of male ind \( 1 \mathrm{x} \) : of female smoke during the break time. What is the probability that a person chosen at random is a female or smoker? In a classroom, 30 are Muslim students and 15 are morMuslims. Half of both have then own computers at hors. What is the probability that a student chosen at random ist Muslim or has computer at home?

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Q. 4.15 (a) A bog coctains \( 10 \mathrm{tal} \) mid 15 black balls. If 5 halls are dramn frum the bos. What is the probobkclity (i) We git moee not balls than black laklls? (ii) Wo pet ar lerwe voe blowk ball? (b) \( A \) eless ovelains 10 boys and 15 pirls. If on the partioiy ajeris day we chrose: 5 stadents at rimilum. What is d: poobalility that (i) There will te girls lea then boys? (ii) Exactly las boys" (wi) Thers will be wo boy aur of 5 sdopients? (iv) Thece will be mo git?

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Lucas Finney verified

Numerade educator

Q.4.12 (a) In a bag, there are 6 black and 4 red balls. One ball is selected at random. What is the probability of getting red ball. (b) There are 10 coins of Rs. 1 and 20 coins of Rs. 2 and 5 coins of Rs. 5. Determine the probability of getting a coin of Rs. 5 if one coin is choosen at random. (c) In a Geometry box, there are 10 pencils of different colours of which 5 are brown, 3 are black and 2 are red. One pencil is selected for drawing. Find the probability that it is (i) a black pencil (ii) a yellow or white pencil (iii) not red pencil

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(c) The height of students in a college are normally disturbed with \( \mu=60^{\prime \prime} \) and \( \sigma^{2}=100^{\prime \prime} .500 \) student are studying in this college. Find the number of students where height is (i) At least 24" (ii) Between 40" and 72" (iii) More than \( 65^{\prime \prime} \) (iv) Less than \( 30^{\prime \prime} \) Find also mean deviation, quartile deviation and median.

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(c) \( V \) A random variable \( x \) is normally distributed with \( \mu=50 \) and \( \sigma^{2}=25 \). Find the probability (a) that it fall between (i) 0 and 40, (ii) 55 and 100 ; (b) that it will be (i) larger than 54, (ii) smaller than 57.

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INSTANT ANSWER

and standard deviation. A random variable \( x \) is normally distributed with \( \mu=50 \) and \( \sigma^{2}=25 \). Find the probability (a) that it fall between (i) 0 and 40 , (ii) 55 and \( 100 ;(b) \) that it will be (i) larger than 54 , (ii) smaller than 57. In a normal distribution with \( \mu=13.5 \) and \( \sigma=3.6 \), find two points such that a single observation has \( 95 \% \) chance for falling between them.

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