assuming sum of mother and father's age is 80
hence sd = 80
mean = 1288
Z = (X - mean)/sd = (X - 1288)/ 80
b)
P(X > 1250)
= 0.6826
c)
P(X > x) = 0.375
P(Z > z) = 0.375
z = 0.385
hence
x = mean + z* sd
= 1288 + 0.385 * 80
= 1318.8
d)
sd(Xbar) = sd(X) /sqrt(n)
P(Xbar < 1225)
= P(Z < (1225 - 1288)/(80/sqrt(200))
= P(Z < -11.1369)
= 0
Please give me a thumbs-up if this helps you out. Thank you! :)
2. Chilicheese Games scores arç normally distributed with a mean of 1288 and a standard deviation...
Assume that z-scores are normally distributed with a mean of 0 and a standard deviation of 1. If P ( 0 < z < a ) = 0.4545 , find a. a = **Please show what you're putting in the calculator for example if you have to use the function normalcdf or invNorm if possible... if not please write it out fully thank you :-)
1. For a normally distributed population with a mean of and a standard deviation of a. Draw the bell curve going out three standard deviations on both directions. b. Find the Z-score for c. Find the Z-score for d. Find the Z-score for e. Find the probability of getting a score greater than 21, f. Find the probability of getting a score less than 9, g. Find the probability of getting a score between 13...
In the population, IQ scores are normally distributed with a mean of 100 and standard deviation of 15 a) in a random sample of 21 people, what is the probability of them having a mean IQ between 102 and 1057 Show.all work for full creditt b) Write a full sentence explaining the meaning of the probability you found in part (a)-include the context of the problem!
Assume that z scores are normally distributed with a mean of O and a standard deviation of 1. If Pl-a<z<a) = 0.4314, find a. 1.49 0.57 -0.18 0.3328 Question 5 O out of 2 points A coin is tossed 20 times. A person, who claims to have extrasensory perception, is asked to predict the outcome of each flip in advance. She predicts correctly on 16 tosses. What is the probability X of being correct 16 or more times by guessing?...
8. Assume that SAT scores are normally distributed with mean 1518 and standard deviation 325. ROUND YOUR ANSWERS TO 4 DECIMAL PLACES a. If 100 SAT scores are randomly selected, find the probability that they have a mean less than 1500.___________ b. If 64 SAT scores are randomly selected, find the probability that they have a mean greater than 1600 c. If 25 SAT scores are randomly selected, find the probability that they have a mean between 1550 and 1575...
Assume that thermometer readings are normally distributed with a mean of 0°C and a standard deviation of 1.00°C. A thermometer is randomly selected and tested. For the case below, draw a sketch, and find the probability of the reading. (The given values are in Celsius degrees.) Between 1.50 and 2.25 Click to view page 1 of the table. Click to view page 2 of the table. Draw a sketch. Choose the correct graph below. ОА. OB. OC. 0 0 5...
1) The weights of the fish in a certain lake are normally distributed with a mean of 20 lb and a 1). standard deviation of 9. If 9 fish are randomly selected, draw, label and shade the normal curve, find the z-scores, and find the probability that the mean weight will be between 17.6 and 23.6 lb. Draw, label, and shade: Z-scores: P(17.6<x< 23.6)
Scores for an exam are normally distributed with a mean of 235 and a standard deviation of 52. What is the percentile value of a score of 270? Round your score to TWO decimal places. For example, if you compute a value of .547, you would enter .55. ALSO: Please enter ONLY the value, no equals sign, no words, etc.
Math 100 test scores are normally distributed with a mean of 75 and a standard deviation of 7: a) Find the probability that a grade is between 65 and 80 b) Find the grade that is the 30th percentile
8. Suppose the scores of students on an exam are normally distributed with mean u = 17.6 and standard deviation o = 4.9. (a) Determine the distribution of the sample mean score for a randomly selected sample of 36 students who took the exam. (b) Find the probability that the sample mean score will be less than 20 for a sample of 36 randomly selected students. (c) How large a sample size would be required to ensure that the probability...