6. The daily temperature in Cairns, Australia in June is normally distributed with a mean of 22.5°C and a standard deviation of 2°C. a. On the following diagram, shade the region representing the probability that a random day in Cairns in June is greater than 20° C. b. Calculate the probability that the temperature on a randomly chosen day in June is greater than 20°C. d. On a randomly selected day in June, the probability that the temperature is greater than k°C is e. Find the probability that exactly twenty-four days in June is greater than 20°C. 0.25. Find the value of k.

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6. The daily temperature in Cairns, Australia in June is normally distributed with a mean of 22.5°C and a
standard deviation of 2°C.
a. On the following diagram, shade the region
representing the probability that a random day in
Cairns in June is greater than 20°C.
b. Calculate the probability that the temperature on
a randomly chosen day in June is greater than 20°C.
d. On a randomly selected day in June, the
probability that the temperature is greater than k°C is
e. Find the probability that exactly twenty-four days
in June is greater than 20°C.
0.25. Find the value of k.
Transcribed Image Text:6. The daily temperature in Cairns, Australia in June is normally distributed with a mean of 22.5°C and a standard deviation of 2°C. a. On the following diagram, shade the region representing the probability that a random day in Cairns in June is greater than 20°C. b. Calculate the probability that the temperature on a randomly chosen day in June is greater than 20°C. d. On a randomly selected day in June, the probability that the temperature is greater than k°C is e. Find the probability that exactly twenty-four days in June is greater than 20°C. 0.25. Find the value of k.
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