Understudies show up each in turn, totally at irregular, to an exhortation center at a pace of

10 every hour. Understudies require on normal 5 minutes of exhortation yet there is wide variety in

the time they need; this variety might be all around demonstrated by the remarkable conveyance.

b. Again accepting one consultant, what is the likelihood that there are more than ten

understudies in the center at an irregular point on schedule? What is the likelihood that the time

spent in the facility surpasses 30 minutes?.

An electronic module utilized by the Navy in a sonar gadget requires substitution on

the normal once like clockwork and fizzles as per a Poisson interaction. Assume that the Navy puts these sonar gadgets into administration on a similar date in eight

distinctive plane carrying warships. In the event that the modules are supplanted following disappointment and

the financial plan takes into account precisely 40 extras more than five years, what is the likelihood that

the financial plan is surpassed? (Clue: Use an ordinary estimate to the Poisson.)

b. The likelihood that the hour of the fifth disappointment is over one year after the

gadgets are put into administration.

Assume a leader has a utility capacity u(x) x

1/3.

We flip a reasonable coin and get $10 for heads and $0 for tails.

a Using anticipated utility hypothesis, decide the cer-

tainty likeness this lottery.

b Using

( p) 1.89799p 3.55995p2

2.662549p3

"9"

, use prospect hypothesis to decide the cer-

tainty likeness the lottery.

c Intuively clarify why your answer to a limited extent (b) is

more modest than your answer to a limited extent (a).

d What suggestions does this issue have for the

technique utilized in Section 13.2 to gauge an individual's util-

ity work?

understudies in likelihood class can decide to take (just a single test) test 1, test 2, or test 3.we realize that 20% of the understudies pick test 1, half pick test 2, and 30% pick test 3.moreover, we realize that the likelihood an understudy who decided to take test 1 will misunderstand the location is 0.44the likelihood an understudy who picked test 2 will misunderstand the location is 0.6and an understudy who picked test 3 will misunderstand the location in likelihood 1.a understudy took one of the tests and got the correct location. what is the likelihood the understudy picked test 2?