10. What is the z-score if the area under the normal curve is 0.0475? A. -1.66 B.-1.67 C. 1.66 D. 1.67 11

Q: Find the area under a normal curve with ?= 6.9 and σ = 1.7 between 4.5 and 11.2. Please write…

A: Given area under a normal curve with mu= 6.9 and σ = 1.7 between 4.5 and 11.2.

Q: Using the table of the areas under the normal curve, find the z scores if the area is 0.2764.

A:

Q: Find the area between.x = 18 and .x = 23 under a normal distribution curve with μ = 20 and o = 4.…

A: The mean and standard deviation are 20 and 4, respectively.

Q: Find the total of the areas under the standard normal curve to the left of z1=−2.575and to the right…

A:

Q: Find the area under the normal curve which is more than z = 1.3.

A: Let Z be the standard normally distributed random variable with mean 0 and standard deviation 1.

Q: Using the z-table, what is the area under the standard normal curve to the left of ? = −1.90?

A: The objective is to find the area under the standard normal curve to the left of  z = −1.90

Q: What percentage of the area lies under the standard normal curve (a) to the left of the µ? (b)…

A: a) In a normal distribution, the mean, median, mode coincide, thus the mean and median are the same.…

Q: Find the area under the standard normal curve between (-1.35) and the mean?

A: To find: Find the area under the standard normal curve between (-1.35) and the mean? Note: P value…

Q: Find the area under the normal curve of the following in percent: 6. for z = 1.34 or z> 1.34 7. for…

A: Hi! Thank you for the question, As per the honor code, we are allowed to answer three sub-parts at a…

Q: Find the proportion under the areas under the normal curve below 0.3σ

A: Suppose, X is normal distribution with mean µ and variance σ2 . So, X ~ N(µ, σ2) Hence, Z = X - µσ ~…

Q: Find the area under the standard normal distribution curve to the left of z=1.69

A: Given information: There is a standard normal distribution curve. The shaded area to the left of…

Q: 3. What proportion of the area under a standardized normal curve is а. above a z-value of 1.88? b.…

A: Standard normal distribution is given.

Q: What is the area under the standard normal distribution curve between  z=1.50 and z=2.50

A: We have to find the area of the normal curve between z = 1.50 and z = 2.50

Q: What is the area under the standard normal curve less than z= 0.82 and z= 1.39 (unshaded portions of…

A:

Q: What is the area under the 1 point normal curve? * 0.25 0.5 0 75

A: Note: “Since you have asked multiple question, we will solve the first question for you. If you want…

Q: Exactly 50% of the area under the normal curve lies to the left of the mean. True False

A: For standard normal distribution, Mean = 0 and the standard deviation = 1. Total area under the…

Q: in the area to the right of x in a normal distribution is 0.551, what is the area to the left of x?

A: The area right of x in a normal distribution is 0.551.

Q: (a) What are the percentage of data points less than z = 0 0.73in a standard normal distribution?…

A: (a)   Determine the percentage of the data points less than Z equals 0.73 in a standard normal…

Q: Find the area under the standard normal distribution:    between 1.37 and 2.63

A: Given :-   z=1.37 z=2.63   we have to calculate the are between z=1.37 to z=2.63

Q: rea to the left of x in a normal distribution is 0.488, what is the area to the right of x?

A: Given that Area to the left of x in normal distribution is 0.488  and  Area to the right of x in…

Q: Determine the area under the standard normal curve that lies between 1.11 and 2.75.

A:

Q: 6.59 Determine the area under the standard normal curve that lies to the left of

A: Here use normal distribution table for area left of z

Q: Find the area under the standard normal curve to the left of z=2.06 using excel please

A: The formula of the standard Normal score is,

Q: Find the area to the right of x=34 under a normal distribution curve with μ=15 and σ=8. Round your…

A: Given data ; Mean = 15: Standard deviation= 8

Q: What proportion of a normal distribution is located between z = -1.25 and z = +1.25?

A: The Z-score of a random variable X is defined as follows: Z = (X – µ)/σ. Here, µ and σ  are the mean…

Q: Show the areas of 5" and 6.5" in the normal curve.

A: Given data, 6.755 6.4 7 8.1 5.8 7.5 9 8.5 7.2 6.9 6.75 9.15 6.2 8.1…

Q: Determine the area of under the Normal Curve for 20 area= [a]

A: Let Z be the random variable from normal distribution then we will find the area under normal curve…

Q: Find the area to the left of x=13 under a normal distribution curve with μ=33 and σ=8. Round your…

A: Given the area to the left of x=13 under a normal distribution curve with μ=33 and σ=8 Z = x-μσ…

Q: Find the area under the standard normal distribution curve to the left of  z = 1.69

A: It is given that the z score is z =1.69.

Q: What area is under the standard normal distribution curve between z=0 and z=0.28

A: The area corresponding to z value 0 is 0.5 calculated by Excel command NORM.S.DIST (0, TRUE) The…

Q: In a normal distribution, what is the area to the right of z = 2.03? 0.9788 O 0.4052 O 0.0212 O…

A:

Q: n under the areas under the normal curve between +2.0σ a

A: Given: Population mean  μ=0 Population standard deviation σ=1     Let X ~ N(0,1)

Q: Answer the following: 1. Area under the normal curve Find the area under the normal curve: Refer to…

A: Solution: B. Here, the area is to be calculated for the corresponding z values.

Q: Calculate the area under the standard normal curve for the following: a. left of -1.65 b. Right of…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub- parts for…

Q: Determine the area of under the Normal Curve for 2≤-1.1. -1.1 area=[a]

A: Let Z be the random variable from Normal distribution then we will find the area under normal curve…

Q: What percentage of the area under the normal curve is within +/-1, +/-2, and +/-3 standard…

A: Let Z be the random variable from standard normal distribution with mean = 0 and standard deviation…

Q: If the area to the left of x in a normal distribution is 0.317, what is the area to the right of x?…

A: Given information: i)  Area to the left of the x in a normal distribution is 0.317 Total area under…

Q: A verticle line is drawn through a normal distribution at z=.80. What proportion of the distribution…

A: The standard normal distribution:A continuous random variable Z is said to follow standard normal…

Q: What proportion of a normal distribution is located between z = –0.60 and z = 0.60?

A: Given that, Z = -0.60 and Z = 0.60

Q: Find the proportion of area under the normal curve. 1. To the left of Z = -2.05 2. To the right of Z…

A: Answer:-  Here, I have used Z-table.

Q: Find the area under the normal curve between -2.15 and -1.77

A:

Q: in a standard normal distribution, what is the area between z=.79 and z = 2.67

A: The z-score of a random variable X is defined as follows: z = (X – µ)/σ. Here, µ and σ are the mean…

Q: According to the Distribution of Z table, _______% of area under the normal curve is between the…

A: The random variable can be said to be follow standard normal distribution if the mean of the…

Q: Find the z-score for which the area under the standard normal curve to its left is 0.40

A: Find the z-score for which the area under the standard normal curve to its left is 0.40

Q: Find the area between x = 25 and x 27 under a normal distribution curve with u = 20 and o = 4. Round…

A: Solution : Given that, μ=20    and  σ=4 Let ,  Y ~ N(20,42) To find the area between 25 and 27 that…

Q: In a normal distribution, what is the area to the right of z = 2.03?   0.9788 0.0212 0.4052…

A: The area to the left of z = 2.03 is obtained by using Excel.

Q: Show the area in a normal curve which is more than Z = 1.5

A: Required area is P(Z>1.5)

Q: area under the Normal Curve:

A: (As per bartleby guidelines, for questions containing multiple subparts, only first three subparts…

Q: Find the area under the normal curve with the following z scores  2.05 -1.5

A: Find P(Z<2.05)=? P(Z<-1.5)=? Note: This value calculated from R software

Q: The area under a normal curve distribution is equal to 1

A: Let us denote normal distribution density as f(x). ∫-∞∞f(x)dx=1 One of the properties of normal…

Addition Rule of Probability

It simply refers to the likelihood of an event taking place whenever the occurrence of an event is uncertain. The probability of a single event can be calculated by dividing the number of successful trials of that event by the total number of trials.

Expected Value

When a large number of trials are performed for any random variable ‘X’, the predicted result is most likely the mean of all the outcomes for the random variable and it is known as expected value also known as expectation. The expected value, also known as the expectation, is denoted by: E(X).

Probability Distributions

Understanding probability is necessary to know the probability distributions. In statistics, probability is how the uncertainty of an event is measured. This event can be anything. The most common examples include tossing a coin, rolling a die, or choosing a card. Each of these events has multiple possibilities. Every such possibility is measured with the help of probability. To be more precise, the probability is used for calculating the occurrence of events that may or may not happen. Probability does not give sure results. Unless the probability of any event is 1, the different outcomes may or may not happen in real life, regardless of how less or how more their probability is.

Basic Probability

The simple definition of probability it is a chance of the occurrence of an event. It is defined in numerical form and the probability value is between 0 to 1. The probability value 0 indicates that there is no chance of that event occurring and the probability value 1 indicates that the event will occur. Sum of the probability value must be 1. The probability value is never a negative number. If it happens, then recheck the calculation.