9. Given the length an athlete throws a hammer is a normal random variable with mean 60 feet and standard deviation 3 feet, what is the probability he throws it between 54.9 feet and 64.5 feet?
10. If x is a binomial random variable where n = 100 and p = 0.3, find the probability that x is less than or equal to 20 using the normal approximation to the binomial.
9. Given the length an athlete throws a hammer is a normal random variable with mean 60...
apter 1. Consider the following data on distances traveled by 100 people to visit the local park. 1-8 30 25 20 15 10 9-16 17-24 25-32 33-40 Expand and construct the table adding columns for relative frequency and cumulative relative frequency. Then plot Histogram, Frequency Polygon and Ogive Curve. 2. Math test anxiety can be found throughout the general population. A study of 200 seniors at a local high school was conducted. The following table was produced from the data....
Question 3 1 pts Suppose X is a normal random variable with a mean equal to 50 and a standard deviation equal to 5. Find the value of: P(46 < X < 58) Your answer should include four decimal places. Question 4 1 pts Section 8.6: A basketball player has a 75% chance of making a free throw. (Assume that the throws are independent of each other.) What is the probability of her making 100 or more free throws in...
If X is a normal random variable with mean μ = 60 and standard deviation σ = 3, find a. P( X > 57 ) = b. P( X < 63 ) = c. P( 58 < X < 62 ) =
If x is a binomial random variable where n = 100 and p = 0.30, find the probability that x is greater than or equal to 35 using the normal approximation to the binomial. (Discuss whether continuity correction is required or not)
1. Let X be a normal random variable with mean 16. If P(X < 20) 0.65, find the standard deviation o. 2. The probability that an electronic component will fail in performance is 0.2 Use the normal approximation to Binomial to find the probability that among 100 such components, (a) at least 23 will fail in performance. X 26) (b) between 18 and 26 (inclusive) will fail in performance. That is find P(18 3. If two random variables X and...
Assume that the random variable X is normally distributed, with mean 60 and standard deviation - 14. Compute the probability P156X565) Be sure to draw a normal curve the corresponding to the probability shaded Click here to view the standard normal distribution table (page 1) Click here to view the standard normaltaistribution table (page 21 Draw a normal curve with the area corresponding to the probability shaded. Choose the correct graph below ОА ОВ. Ос. OD 5606 The probability P(56<X266)...
If Y is a binomial random variable with parameters n=60 and p=0.5, estimate the probability that Y will equal or exceed 45 using the Normal approximation with a continuity correction.
Question 1 1 pts Suppose X is a normal random variable with a mean equal to 50 and a standard deviation equal to 5. Find the value of: PIX < 60) Your answer should include four decimal places. Question 2 1 pts Suppose X is a normal random variable with a mean equal to 50 and a standard deviation equal to 5. Find the value of: PIX > 43) Your answer should include four decimal places.
Question 1 (0.5 points) A random variable X follows a normal distribution with mean of 50 and standard deviation of 5. Suppose we take a simple random sample of size 6 from the population above. Can we calculate the probability that the sample mean is between 45 and 60? (You do not need to actually calculate the probability for this question.) Yes, and the calculated probability would be exact. Yes, and the calculated probability would be approximate. No. Question 2...
Length (in days) of human pregnancies is a normal random variable (X) with mean 266 days and standard deviation 16 days. (It would be useful to sketch this normal distribution yourself, marking its mean and the values that are 1, 2, and 3 standard deviations below and above the mean