1. You are to model the daytime temperature of the Mojave desert during the summer time. Temperatures in the desert are modeled to follow a normal distribution with μ = 102 Fahrenheit and variance σ2 = 25 Fahrenheit. a. Write out the integral form of the probability that the temperature will be between 97 to 107 degrees Fahrenheit. Use pnorm functions in R,(pnorm(x, μ, σ)) or use empirical rule to compute numeric value. b. What is the probability that the temperature will be exactly 120 degrees? What is the probability of the temperature being below 120? Write out integral form and use R (pnorm) to compute. c. Use R to find what is the 90-th percentile of daily temperatures? That is to say the minimum temperature such that there is a 90% probability of being below it
1. You are to model the daytime temperature of the Mojave desert during the summer time.
Temperatures in the desert are modeled to follow a
and variance σ2 = 25 Fahrenheit.
a. Write out the
degrees Fahrenheit. Use pnorm
numeric value.
b. What is the probability that the temperature will be exactly 120 degrees? What is the
probability of the temperature being below 120? Write out integral form and use R (pnorm) to
compute.
c. Use R to find what is the 90-th percentile of daily temperatures? That is to say the minimum
temperature such that there is a 90% probability of being below it
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