A random variable X is exponentially distributed with an expected value of 25. a-1. What is the rate parameter A? (Round your answer to 2 decimal places.) Rate parameterA ces a-2. What is the standard deviation of X? Standard deviation X

Q: Police Academy Acceptance Exams To qualify for a police academy, applicants are given a test of…

A: From the provided information,

Q: 120 mg/dl Shelia's measured glucose level one hour after a sugary drink varies according to the…

A: Given that.   X~N( μ , ?^2 )   μ=10.7    , ?=?   , x=120   Z-score =( x - μ )/?

Q: The IQ's in a certain population are normally distributed with a mean score of 104 and a standard…

A: Given : μ=104σ=14X~N(μ=104,σ2=(14)2) We want to find,1) P(X<100)=?2) P(X>140)=?

Q: Company XYZ know that replacement times for the quartz time pieces it produces are normally…

A: Mean()=11.5standard deviation()=1.2

Q: Final grades in Professor Albert's large calculus class are approximately normally distributed with…

A: Given that μ=76,σ=8 P (x<60 ) = ? Proportion of the students earned F`s

Q: 3. Between 95 and 115 4. Find the 67th percentile of IQ's in this population.

A: We know, If, X~Nμ,σ2 then, Z=X-μσ~N0,1 Given, X~N104,142Z=X-10414~N0,1

Q: IQ scores have a mean of µ=100 in the general population, and have a standard deviation of σ=15. You…

A:

Q: What is the minimum value of a standard deviation? O-1 O it has no minimum O0 01

A:

Q: Qualifying Test Scores To qualify for a medical study, an applicant must have a systolic blood…

A:

Q: IQ scores have a mean of µ=100 in the general population, and have a standard deviation of σ=15. You…

A: Given µ=100 and σ=15 n=25 Px¯≤78=Px¯-μσn≤78-μσn               =Pz≤78-1001525             =Pz≤-7.3333…

Q: Measuring lung function: One of the measurements used to determine the health of a person's lungs is…

A: Given: μ=2.1σ=0.5n=70x¯=2.03 Hypothesis: Null hypothesis: H0: μ=2.1Alternative hypothesis: H1:…

Q: Age of College College if a randc chi-square distrib

A: Given: s2 = 2.42  = 5.765.76 nn = 2828

Q: Defining Parameters Accurately: Difference of Two Means In a random sample of 25 males in the U.S.,…

A: Solution: Given information: n1=25 Sample size of males n2= 36 Sample size of females x1= 170 pounds…

Q: X follows an Exponential Distribution with an average of 15. Which of the following is true? Group…

A: We know that  X~Exp( λ ) Where λ = average  λ =15

Q: What is the standard deviation of variable X? Round to two decimals. 0 2 P(X=x) | 0.25 | 0.20 3 4 5…

A:

Q: Testing: H0:μ=49.4 H1:μ<49.4 Your sample consists of 50 subjects, with a mean of 49 and standard…

A: We have given that,  H0:μ=49.4 H1:μ&lt;49.4 Sample  size (n) = 50 Mean (Mu) = 49 and standard…

Q: Testing:H0:μ=8.6H1:μ&lt;8.6Your sample consists of 39 subjects, with a mean of 8.5 and standard…

A: Null Hypothesis: H0: µ=8.6. Alternative Hypothesis: Ha: µ&lt;8.6. Test Statistic:

Q: units Suppose that the TSH (Thyroid Stimulating Hormone) levels among healthy individuals are…

A: Given that  Mean of TSH level=3.2 unit/ML  We have to find the standard deviation such that 98% have…

Q: (1 point) Round all answers to four decimal places. A factory quality control manager decides to…

A: Formulae : i) Sample mean : x¯ = ∑xin ii) Sample standard deviation : s = 1n-1∑(xi -x¯ )2

Q: Systolic Blood Pressure Assume that the mean systolic blood pressure of normal adults is 120…

A: Given that μ=120sd =σ=5.6

Q: ealth of a person's lungs is the amount of air a person can exhale under force n one second. This is…

A: Solution: Given information: n=58 Sample size  μ=2.1 Population mean σ=0.5 Population standard…

Q: Check my work Find the mean and standard deviation for each uniform continuous model. (Round "Mean"…

A: Mean of uniform distribution is, Standard deviation of uniform distribution is, a. The mean is,…

Q: Number of boys (x) P(x) 0 0.028 1 0.145 2 0.305 3 0.320 4 0.168 5 0.034

A: The mean number of boys in the in five birth can be calculated as:   Therefore, the mean number of…

Q: An instructor grades on a curve by assuming that grades on a test are normally distributed. If the…

A: Given Data: Mean=80 SD=7   X~ Normal (80, 72)

Q: P-values 3. An aircraft manufacturer needs specialty steel rods with a tensile strength of at least…

A:

Q: Systolic Blood Pressure Assume that the mean systolic blood pressure of normal adults is 120…

A: The question is about normal distribution.Given :Population mean systolic blood pressure of normal…

Q: Global Happiness: Everything Up to the Paired-Samples t Test For the level represented by a…

A: Paired sample t-test :  It is the test which compair the means of two groups taken from the same…

Q: units Suppose that the TSH (Thyroid Stimulating Hormone) levels among healthy individuals are…

A: We have to find given probability...

Q: The amount of potassium in food varies, but bananas are often associated with high potassium, with…

A: a) Suppose a random variable x defines the amount of potassium intake in a medium-sized banana.

Continuous Probability Distributions

Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.

Normal Distribution

Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!