The table shows the number of touchdowns luis scored during his football games. touchdowns scored (x) 0 1 2 3 name of games (f) 6 10 7 5 (a) create a probability distribution table.

We are given frequency  distribution in the question

to find the probability distribution from frequency distribution  we need to divide frequency by total number of observations.

Here, total number of observations are 6+10+7+5=28

so , we will have probability distribution table as

X0123

P(x).21.35.25.17

probability distributiuon describes all possible values that a random variable can take within a given range.

frequency distribution is the presentation that presents  number of observation in given interval.

the 3rd on is correct

step-by-step explanation:

(a) {a₁, a₁r, a₁r², … a₁rⁿ⁻¹, …}

(b) $59 398

step-by-step explanation:

(a) the annual sequence of profits

aₙ = a₁rⁿ⁻¹

the model for the sequence of profits is {a₁, a₁r, a₁r², … a₁rⁿ⁻¹, …} .

(b) profit after 15 yr

  a₁ = $ 30 000

  r = 1.05

a₁₅ = 30 000 × 1.05¹⁴

a₁₅ = 30 000 × 1.979 93

a₁₅ = $59 398

the profit in year 15 will be $59 398.