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five fair coins are tossed assuming that the outcomes are independent find the pmf of the number of heads obtained in
a company makes gadgets that it sells in packages of eight it has been found that the probability that a gadget made by
at least 10 of 12 people in a jury are required to find a person guilty before the person can be convicted assume that
a machine makes errors in a certain operation with probability p there are two types of errors type a error and type b
a car has five traffic lights on its route independently of other traffic lights each traffic light turns red as the
a fair die is rolled repeatedly until a 6 appearsa what is the probability that the experiment stops at the fourth
a random variable x assumes two values 4 and 7 with probabilities p and q respectively where determine the mean and
let x be the random variable that denotes the outcome of tossing a fair die oncea what is the pmf of xb what is the
a fair die is rolled once let n denote the outcome of the experiment find the expected value of n given that the
an insurance company has 1000 policies of men of age 50 the companys estimate is that the probability that a man of age
a class has 20 students whose heights are as follows there are 4 students with a height of 55 feet there are 5 students
the time it takes a machine to perform an operation depends on the state it enters when the start button is pushed
a student has three methods of solving a problem it takes him 1 hour to solve the problem using method a it takes him
consider the following game that involves tossing a fair die if the outcome of a toss is an even number you win 2 if
three vans are used to carry 45 students in the applied probability class to participate in a state competition on
assume that we roll two dice and define three events a b and c where a is the event that the first die is odd b is the
suppose that two events a and b are mutually exclusive and pbgt0 under what conditions will a and b be
four married couples bought tickets for eight seats in a row for a football gamea in how many different ways can they
a committee consisting of 3 electrical engineers and 3 mechanical engineers is to be formed from a group of 7
a committee of 7 people is to be formed from a pool of 10 men and 12 womena what is the probability that the committee
five departments in the college of engineering which are labeled departments a b c d and e send three delegates each to
a box contains 50 computer chips of which 8 are known to be bad a chip is selected at random and testeda what is the
the probability of rain on a day of the year selected at random is 025 in a certain city the local weather forecast is
53 of the adults in a certain city are female and 15 of the adults are unemployed males a what is the probability that
a survey of 100 companies shows that 75 of them have installed wireless local area networks wlans on their premises if