Binomial Random Variables
A survey of 933 Intro Stat students produced the following results.
Frequency table Count = 933
Tattoos |
Frequency |
No |
700 |
Yes |
233 |
Binomial Random Variables A survey of 933 Intro Stat students produced the following results. Frequency table...
4. The following frequency table shows the test score distribution for a random sample of 25 students taking an introductory statistics class at a certain college. a. Find the missing relative frequency b. How many students in the sample RelativeF 0.08 0.04 Score 30-40 41-51 52-62 63-73 74 -84 85-95 had a score of at least 63? Total number of students taking an introductory statistics class at this college is 800. Based on the sample data above, estimate the total...
Question* On STAT your assessment is based on: Final Exam Learn based online assessment Assignments 4790 +' 3490 19% Consider three random variables X, Y and Z which respectively represent the exam, online assessment total and assignment scores (out of 100%) of a randomly chosen student. Assume that X, Y and Z are independent (this is clearly not true, but the answers may be a reasonableapproximation).Suppose that past experience suggests the following properties of these assessment items (each out of...
QUESTION 29 In the following binomial situation, identify n. "In a ational survey, 3 of 10 college students admit to having tried marijuana. What is the probability that 15 college students in a local sample of 60 have tried it?" OA.n.. 10 OC, n= 60 OD, n = 15
Please state which of the following random variables are binomial, geometric, negative binomial, or hypergeometric a. Let # of lines in 100 lines of someone's computer program that have a bug. Assume each line of code is independently buggy of every other line and that the probability of a having a bug in a line of code is the same for each line. b. Let T the shot of tequila that you drink that makes you throw up. Assume the...
QUESTION 28 Using the Binomial Probability table, find PCX) when n 7, X <3, and p 0.5 O A. 0.273 O B. 0.500 ° C. 0.227 O D.0.773 QUESTION 29 In the following binomial situation, identify n. "In a national survey, 3 of 10 college students admit to having tried marijuana. What is the probability that 15 college students in a local sample of 60 have tried it?" O A. n 10 O C. n- 60 OD, n= 15
Part Two. Can you help me with the binomial probability distribution? Please see instructions below. Please show all steps to understand better. Thank you in advance. 5. Use the binomial distribution table to find the binomial probabilities for these cases: a) n=10, p=1, k= 3 b) n=14, p = 6, k = 7 c) n =25, p=5, k = 14 6. Consider a binomial experiment with n = 20 and p=0.70. Use the binomial formula to calculate: a) P(x =...
1. Suppose that random variables X and Y are independent and have the following properties: E(X) = 5, Var(X) = 2, E(Y ) = −2, E(Y 2) = 7. Compute the following. (a) E(X + Y ). (b) Var(2X − 3Y ) (c) E(X2 + 5) (d) The standard deviation of Y . 2. Consider the following data set: �x = {90, 88, 93, 87, 85, 95, 92} (a) Compute x¯. (b) Compute the standard deviation of this set. 3....
5. (20 pts) Suppose on a given college campus 45% of the students own an iPhone, 50% an Android smartphone and 5% some other type of phone. Let X=the number of students in a simple random sample of 15 students who own an iPhone. A. What is the probability distribution of X? Note: If this is a well-known distribution it is sufficient to name the distribution and identify the value of the parameters B. Find the probability that 8 students...
In-class worksheet - Binomial distribution Date: 1. Which of the following situations describe a Binomial random variable? (a) Let X be the number of tosses of a fair coin until you obtain a head. (b) The probability of a girl having black hair is 0.6. There are 6 girls altogether. Let X be the number of girls out of the 6 who have black hair. (c) Among 6 girls, there are two with black hair. You pick 4 girls at...
Are the following random variables binomial? If it is, state the possible values of the random variable. If not, state why. (Hint: Check the five characteristics of a binomial experiment that we discussed in class.) (a) Bob is teaching his daughter Tina to drive. They have one driving lesson a day for one week. X = the number of days that Tina successfully goes without hitting another car. (b) Joey and Chandler are playing a board game that involves rolling...