Solve the following LPP using graphical method:
Maximize Z = 3x1 + 2x2
Subject to the Constraints:
-2x1 + x2 ≤ 1
x1 ≤ 2
x1 + x2 ≤ 3
x1, x2 ≥0
Convert the inequality constraints into equation we have ,
From (1) R (2)
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There are three coins in a box. When tossed, one of the coins comes up heads only 30% of the time, one of the coins is fair, and the third comes up heads 80% of the time. A coin is selected at random from the box and tossed three times. If two heads and a tail come up in this order (HHT) what is the probability that the coin was the fair coin?
Times between successive crashes of a computer system were generated for a 6-months period and are given in increasing order as follows (time in hours): 1, 10, 20, 30, 40, 52, 63, 70, 80, 90, 100, 102, 130, 140, 190, 210, 266, 310, 530,590, 640, 1340. The value of parameter α and Mean (1/α) is given as 0.00435 and 230 hrs, respectively. Use kolmogrov-Smirnov test to examine the goodness of fit of exponential distribution.
If the arrival rate is 12 per hour and service rate is 4 per hour, then the probability of no customer in queue is 0.3.
State whether the following statements are True or False and also give the reason in support of your answer.
(a) If odds in favour of an event A are 3:5 then odds against of the event A will be 5:3.
(d) If X denotes the waiting time in minutes until the 3rd customer arrives in a mobile showroom, then X follows exponential distribution.
(e) The probability that a shooter hits a target in Olympic is 1/3. If she fires 6 times, then to calculate the probability of hitting the target at least 3 times we can use geometric distribution.
If a random variable X may assume values then it cannot be discrete random variable
State whether the following statements are true or false and also give the reason in support of your answer:
b) In cluster sampling the variance within clusters is greater than the variance between
clusters.
c) While analysing the data of a 5 × 5 Latin Square design the error d.f. is equal to 12.
d) In a Two way analysis of variance with 4 blocks & 4 treatments the degree of freedom
for the total variation is 15.
e) Suppose a random number generated by Middle. Square Method is 16, then the next
random number will be 44.
Arrivals at telephone booth are considered to be Poisson with an average time of 10 minutes between are arrival and the next. The length of phone call is assumed to be distributed exponentially with mean 3 minutes