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 σ 2 = 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 120 degrees? What is the probability of the temperature being below 120? Write out integral form and use R (pnorm) to compute. c. Say X is the random variable that denotes the temperature during the desert day. What distribution does 0.55X-17.6 follow? State the type of distribution, and all parameters. d. Now say you relax the normality assumption from the model, and you observe 25 days temperatures (X1, X2, ..., X25) from some unknown distribution. What is the approximate distribution of the sample mean of these daily temperatures, X¯ = 1 n Pn i=1 Xi? State the approximate type of distribution and all parameters.

5x + 5

step-by-step explanation:

you should always add the diagrams and graphs we cannot see. this particular question is kind of borderline because we can make a graph for you.

(f + g)x = -x^2 +3x + 5 + x^2 + 2x

(f + g)x = 5x + 5

the graph of z = 5x + 5 is shown below. always use desmos when in doubt.

required rate of return = 0.166 = 16.6%

step-by-step explanation:

under the capital asset pricing model (capm), the required or expected rate of return for a particular security or asset is given using the formula:

required rate of return = risk-free rate + beta*(market risk premium)

we are given that;

risk-free rate = 4% = 0.04

beta = 1.4

market risk premium = 9% = 0.09

we simply plug these values into the above formula;

required rate of return = 0.04 + 1.4*(0.09)

required rate of return = 0.04 + 0.126

required rate of return = 0.166 = 16.6%

i will with my problems and all the other things that need to   be on by the way

step-by-step explanation:

fabric (square meters)                   cloaks

7                                                           21

4/3                                                         4

step-by-step explanation:

we are told that harry needs 2 square meters of fabric for every 6 wizard cloaks he makes.

1. first of all we will find how many cloaks can be made from 1 square meter of fabric by dividing 6 by 2.

we can see that 3 cloaks can be made from 1 square meter of fabric. now we will multiply 3 by 7 to find number of cloaks made from 7 square meters of fabric.

therefore, harry will make 21 cloaks from 7 square meters of fabric.

2. let us find how many square meters of fabric will be needed to make 4 cloaks.

first of all we will find fabric needed for 1 cloak by dividing 2 by 6.

we can see that fabric needed for 1 cloak is   square meter. now we will multiply   by 4 to find fabric needed for 4 cloaks.