A continuously random variable is uniformly distributed between 10 and 50. The p

Question

A continuously random variable is uniformly distributed between 10 and 50. The probability that the value of random variable equals 30 should be

0.25, 0.50, 0.75, 0

A continuously random variable is uniformly distributed between 10 and 50. The probability P (20 < x < 40) should be

0.25, 0.50, 0.75. 0

The number of accidents that occur at a busy intersection of Highway 59 in Houston is Poisson distributed with a mean of 2 accidents per hour. What will be the mean of accidents occurring in 30 minutes?

60, 4, 2, 1

The number of accidents that occur at a busy intersection of Highway 59 in Houston is Poisson distributed with a mean of 2 accidents per hour. If you apply MS Excel to calculate what will be the probability that exact 1 accident occurring in 15 minutes, which of the following combination of Excel arguments can get the probability directly in POISSON.DIST(x, , False/True) function? (x: value of random variable; : mean in the interval; False/True: desired prob./cumulative prob.)

POISSON.DIST (1, 15, False)

POISSON.DIST (1, 0.5, False)

1POISSON.DIST (1, 0.5, True)

POISSON.DIST (1, 0.5, True)

The number of accidents that occur at a busy intersection of Highway 59 in Houston is Poisson distributed with a mean of 2 accidents per hour. If you apply MS Excel to calculate what will be the probability that no accident occurring in an hour, which of the following combination of Excel arguments can get the probability directly in POISSON.DIST(x, , False/True) function? (x: value of random variable; : mean in the interval; False/True: desired prob./cumulative prob.)

POISSON.DIST (0, 2, False)

POISSON.DIST (1, 2, True)

1POISSON.DIST (1, 2, True)

1POISSON.DIST (0, 2, True)

POISSON.DIST (1, 15, False)

POISSON.DIST (1, 0.5, False)

1POISSON.DIST (1, 0.5, True)

POISSON.DIST (1, 0.5, True)

Explanation / Answer

We are allowed to do 1 question at a time. Post again for second question.

2) a) Mean = 2 in one hour

So, in 30 mins = 1

b) We will use this:

POISSON.DIST (1, 0.5, True)

c)

1POISSON.DIST (0, 2, True)

POISSON.DIST (1, 0.5, True)

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