A player of a video game is confronted with a series of opponents and has an 82% probability of defeating each one. Success with any opponent is independent of previous encounters. The player continues to contest opponents until defeated.

(a) What is the probability mass function of the number of opponents contested in a game? F(X) = ?

(b) What is the probability that a player defeats at least two opponents in a game? Round your answer to two decimal places (e. g. 0.98).

(c) What is the expected number of opponents contested in a game? Round your answer to the nearest integer.

(d) What is the probability that a player contests four or more opponents in a game? Round your answer to four decimal places (e. g. 0.9876).

(e) What is the expected number of game plays until a player contests four or more opponents? Round your answer to the nearest integer.

the answer would be 1 1/72

step-by-step explanation:

you can rewrite the equation by separating the parts and then solving individually:

10-9=1

1/8 - 1/9=

find l c d and then combine:

1 1/72

total amount to be paid = $19.5

step-by-step explanation:

given ,

original price = $25.99

discount = 25%

discount amount = 25% of original price

discount amount = 25/100   * 25.99

discount amount = $6.49

hence , the total amount to be paid = original price - discount amount

                                                            = $25.99 - $6.49

                                                            =$19.5

total amount to be paid = $19.5

the answer is 62.8 cubic units

the number of possible outcomes that do not show a 1 on the first spinner and show the number 4 on the second spinner is 2.

spinner 1 spinner 2

1                     1

1                     2

1                     3

1                     4

2                   1

2                   2

2                   3

2                   4   = not 1, and 4

3                   1

3                   2

3                   3

3                   4 = not 1, and 4

only 2 outcomes have passed the given condition.

step-by-step explanation: