1. Given that P(E) = 0.42, P(F) = 0.42, and P(E ∩ F) = 0.08. Find...
1. Given that P(E) = 0.42, P(F) = 0.42, and P(E ∩ F) = 0.08. Find P(E ∪ F).
2. A campus radio station surveyed 500 students to determine the types of music they like. The survey revealed that 205 like rock, 158 like country, and 120 like jazz. Moreover, 25 like rock and country, 27 like rock and jazz, 20 like country and jazz, and 7 like all three types of music. What is the probability that a randomly selected student likes at least two of the three types of music?
3. 136 cars were sold during the month of April. 71 had air conditioning and 72 had automatic transmission. 55 had air conditioning only, 56 had automatic transmission only, and 9 had neither of these extras. What is the probability that a randomly selected car had automatic transmission or air conditioning or both?
Homework Answers
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1. Given that P(E) = 0.42, P(F) = 0.42, and P(E ∩ F) = 0.08.
Find...
A campus radio station surveyed 500 students to determine the types of music they like. The...
A campus radio station surveyed 500 students to determine the types of music they like. The survey revealed that 199 like rock, 155 like country, and 114 like jazz. Moreover, 24 like rock and country, 23 like rock and jazz, 19 like country and jazz, and 8 like all three types of music. What is the probability that a randomly selected student likes exactly one of the three types? a) 0.2880 b) 0.7200 c) 0.4000 d) 1 e) 0.0160 f)...
Question 15 Review Later (Car Sales) Of the cars sold during the month of July, 88...
Question 15 Review Later (Car Sales) Of the cars sold during the month of July, 88 had air conditioning, 100 had automatic transmission, and 63 had power steering. 7 cars had all three of these extras. 18 cars had none of these extras. 24 cars had only air conditioning, 62 cars had only automatic transmissions, and 26 cars had only pwer steering. 9 cars had both automatic transmission and power steering. How many cars had air conditioning and automatic transmission...
1. If two events are independent how do we calculate the and probability, P(E and F),...
1. If two events are independent how do we calculate the and probability, P(E and F), of the two events? (As a side note: this "and" probability, P(E and F), is called the joint probability of Events E and F. Likewise, the probability of an individual event, like P(E), is called the marginal probability of Event E.) 2. One way to interpret conditional probability is that the sample space for the conditional probability is the "conditioning" event. If Event A...
1. find p(e/F) given that p(F) = .88 and p(F) = .82 e and f are...
1. find p(e/F) given that p(F) = .88 and p(F) = .82 e and f are independent events. 2. fine p(E/F) give. that p(E) = 0.0 and p(F) = .6 e and f are mutually exclusive 1. find P(E/F) given that P(E)= .88 P(F)= .82
Question 1 Select one answer. Let A and B be two independent events. If P(A) =...
Question 1 Select one answer. Let A and B be two independent events. If P(A) = 0.5, what can you say about P(A | B)? Cannot find it because P(B) is not known. Cannot find it because P(A and B) is not known. Cannot find it because both P(B) and P(A and B) are not known. It is equal to 0.5. It is equal to 0.25. Question 2 Select one answer. Suppose a basketball team had a season of games...
Let A,B be two events given on a probability space (Ω, F, P). Find E(1A|1B).
Let A,B be two events given on a probability space (Ω, F, P). Find E(1A|1B).
S (ls points) 1/ Given f(x,>)-xy+e" sin y and P(1,0) a) Find the directional derivative of fat P ...
s (ls points) 1/ Given f(x,>)-xy+e" sin y and P(1,0) a) Find the directional derivative of fat P in the direction of Q(2, 5). b) Find the directions in which the function increases and decreases most rapidly atP e) Find the maximum value of the directional derivative of fat P. d) Is there a direction u in which the directional derivative o f fat P equals 1? If there is, find u. If there is no such direction, explain. e)...
Given the following distribution function F(x) = { 1 - e^-0.05x , x≥0 a) find the probability density function of X b) find P(5 ≤ x ≤ 10).
given the following distribution function F(x) = { 1 - e^-0.05x , x≥0 a) Find the probability density function of Xb) Find P(5 < x ≤ 10).someone pls help me its been two days and im still didnt get the answer. please help me im begging
1) Suppose U, V, W U(0, 5), Determine P[ min(U, V, W) 1 a).578 b) .488 c).384 d) .462 e) .340 2) Suppose W has pdf f(x) P(W <.70 I W>.50) 2x, 0 < x <1. Determine a) .425 b).372 ).393 d...
1) Suppose U, V, W U(0, 5), Determine P[ min(U, V, W) 1 a).578 b) .488 c).384 d) .462 e) .340 2) Suppose W has pdf f(x) P(W <.70 I W>.50) 2x, 0 < x <1. Determine a) .425 b).372 ).393 d).320 e) 456 3) 20% of employees at Acme Piston & Valve have college degrees. f those with a college degree, 56% are in the valve-worker's union. Of those without a college degree, 90% are in the valve- worker's...
PART A: MULITPLE-CHOICE QUESTIONS (1 MARK EACH) VII. (d) Dotplots or boxplots (e) Only boxplots The...
PART A: MULITPLE-CHOICE QUESTIONS (1 MARK EACH) VII. (d) Dotplots or boxplots (e) Only boxplots The descriptive statistics of a certain data set include the following: Min = 17, Max = 126, s = 15.5, Q1 = 45, median = 55, Q3 = 95. What is the most likely shape of this distribution? (a) Approximately symmetric (b) Uniform (c) Right-skewed (d) Left-skewed (e) Insufficient information to determine I. Question 1 (This question has 9 parts: Ito IX; 9 marks in...
Question 15 Review Later (Car Sales) Of the cars sold during the month of July, 88 had air conditioning, 100 had automatic transmission, and 63 had power steering. 7 cars had all three of these extras. 18 cars had none of these extras. 24 cars had only air conditioning, 62 cars had only automatic transmissions, and 26 cars had only pwer steering. 9 cars had both automatic transmission and power steering. How many cars had air conditioning and automatic transmission...
s (ls points) 1/ Given f(x,>)-xy+e" sin y and P(1,0) a) Find the directional derivative of fat P in the direction of Q(2, 5). b) Find the directions in which the function increases and decreases most rapidly atP e) Find the maximum value of the directional derivative of fat P. d) Is there a direction u in which the directional derivative o f fat P equals 1? If there is, find u. If there is no such direction, explain. e)...
1) Suppose U, V, W U(0, 5), Determine P[ min(U, V, W) 1 a).578 b) .488 c).384 d) .462 e) .340 2) Suppose W has pdf f(x) P(W <.70 I W>.50) 2x, 0 < x <1. Determine a) .425 b).372 ).393 d).320 e) 456 3) 20% of employees at Acme Piston & Valve have college degrees. f those with a college degree, 56% are in the valve-worker's union. Of those without a college degree, 90% are in the valve- worker's...
PART A: MULITPLE-CHOICE QUESTIONS (1 MARK EACH) VII. (d) Dotplots or boxplots (e) Only boxplots The descriptive statistics of a certain data set include the following: Min = 17, Max = 126, s = 15.5, Q1 = 45, median = 55, Q3 = 95. What is the most likely shape of this distribution? (a) Approximately symmetric (b) Uniform (c) Right-skewed (d) Left-skewed (e) Insufficient information to determine I. Question 1 (This question has 9 parts: Ito IX; 9 marks in...
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