Download ChE 311.3 – Mathematical Modelling I Assignment # 2 Posted

ChE 311.3 – Mathematical Modelling I
Assignment # 2
Posted:
Due:
October 2nd
October 9th (beginning of class)
The following questions are taken from “Statistics and Probability for Engineering
Applications” by W. J. DeCoursey.
1.
In playing poker, five cards are dealt to a player. What is the
probability of being dealt:
i)
four-of-a-kind?
ii)
a full house (three-of-a-kind and a pair)?
2.
The annual snowfall in Saskatoon is normally distributed with mean
equal to 80 cm and standard deviation equal to 20 cm.
a)
What is the probability that the snowfall in any year will exceed
30 cm?
b)
What is the probability that the snowfall in any year will be
between 55 and 90 cm?
3.
The probability that a river flow exceeds 2,000 cubic meters per
second is 15%. The coefficient of variation of these flows is 20%. Assuming
a normal distribution, calculate:
a)
the mean of the flow
b)
the standard deviation of the flow
c)
the probability that the flow will be between 1300 and 1900
m3/s
4.
Bags of fertilizer are weighed as they come off a production line. The
weights are normally distributed, and the coefficient of variation is 0.085%.
It is found that 2% of the bags are under 50.00 kg.
a)
What is the mean weight of a bag of fertilizer?
b)
What percentage of the bags weigh more than 50.020 kg?
c)
What is the upper quartile of the weights (i.e. z   0.75 )?