Statistics SQ3

E and F are mutually exclusive events. P(E) = 0.4; P(F) = 0.5. P(E∣F) = ___________. a. 0 b. 0.25 c. 2

0

U and V are mutually exclusive events. P(U) = 0.26; P(V) = 0.37. P (U AND V) = _________. a. 0 b. 0.26 c. 0.63

0

U and V are mutually exclusive events. P(U) = 0.26; P(V) = 0.37. P(U|V) = ____________. a. 0.5 b. 0.26 c. 0

0

Given the Venn diagram below, answer the following question: Find P (F AND HC) a. 0.0346 b. 0.0394 c. 0.9014

0.0394

Given the Venn diagram below, answer the following question: Find P (F AND HC). a. 0.0346 b. 0.0394 c. 0.9014

0.0394

Given the Venn diagram below, answer the following question: Find P (F OR HC). a. 0.0346 b. 0.074 c. 0.0592

0.0592

Given the Venn diagram below, answer the following question: Find P(HC). a. 0.064 b. 0.0394 c. 0.9014

0.064

Given the Venn diagram below, answer the following question: Find P(F). a. 0.0346 b. 0.074 c. 0.9014

0.074

U and V are mutually exclusive events. P(U) = 0.26; P(V) = 0.37. P (U OR V) = ______________. a. 0.37 b. 0 c. 0.63

0.63

Roll two fair dice separately. Each dice has six faces. Let A be the event that either a three or four is rolled first, followed by an even number. Let B be the event that the sum of the two rolls is at most seven. P(A|B) = ________. a. 1/6 b. 1/5 c. 1/7

1/7

Roll two fair dice separately. Each dice has six faces. Let B be the event that the sum of the two rolls is at most seven. P(B) = _____________. a. 36/21 b. 6/21 c. 21/36

21/36

A box of cookies contains three chocolate and seven butter cookies. A person randomly selects a cookie and eats it. Then the person randomly selects another cookie and eats it. Use the tree diagram below to answer the following question. Let T be the event that the cookies selected were different flavors. Find P(T). a. 6/90 b. 48/90 c. 42/90

42/90

Roll two fair dice separately. Each dice has six faces. Let A be the event that either a three or four is rolled first, followed by an even number. Let B be the event that the sum of the two rolls is at most seven. Are A and B independent events? a. Yes b. No

No

A box of cookies contains three chocolate and seven butter cookies. A person randomly selects a cookie and eats it. Then the person randomly selects another cookie and eats it. Use the tree diagram below to answer the following question. Let S be the event that both cookies selected were the same flavor. Find P(S). a. 6/90 b. 48/90 c. 21/90

48/90

Roll two fair dice separately. Each dice has six faces. Let A be the event that either a three or four is rolled first, followed by an even number. P(A) = _________. a. 6/21 b. 6/36 c. 21/36

6/36

A box of cookies contains three chocolate and seven butter cookies. A person randomly selects a cookie and eats it. Then the person randomly selects another cookie and eats it. Use the tree diagram below to answer the following question. Let U be the event that the second cookie selected is a butter cookie. Find P(U). a. 63/90 b. 49/90 c. 21/90

63/90

Roll two fair dice separately. Each dice has six faces. Let A be the event that either a three or four is rolled first, followed by an even number. Let B be the event that the sum of the two rolls is at most seven. P (A AND B) = _______. a. 7/36 b. 1/36 c. 5/36

7/36

Roll two fair dice separately. Each dice has six faces. Let A be the event that either a three or four is rolled first, followed by an even number. Let B be the event that the sum of the two rolls is at most seven. Are A and B mutually exclusive events? a. Yes b. No

No