Two basketball teams (call them d and u) are playing 3 basketball games. let θ denote the probability that u beats d in a game. if you knew θ then assume that the outcomes of the three games can be modeled as three bernoulli trials with probability of success θ (ie, the outcomes of the three games are independent with the same success probability for u namely θ which does not change over the three games). you may also assume the chance of a tie is zero. however since we don't know θ, assume p(8-1/3) 0.25, p(θ = 1/2) 0.25, p(9-2/3) = 0.5. let x denote the number of games u wins (a) | 2 points find the joint probability mass function of (θ, x) namely fill in the table 1/3 round to 4 decimal places. (b) | 2 points find the conditional pmf of θ given that u won all 3 games (c) 2 points) find e(ax = 3)

the least value out of the data shown is 5, maybe if you post a picture with it i could a little more.

step-by-step explanation:

none of these

step-by-step explanation:

23 + 34 add up to 57 so just inform the teacher of this really stupid mistake

the correct option is:

b. a value of the variable that makes the polynomial equal to zero.

the root or roots of a polynomial are the values of the variable that makes the polynomial equal to 0. we can find the roots of a polynomial making the expression equal to 0 and then, isolating the variable (it it has just one variable).

for example, given the following polynomial:

the root or zero of the polynomial, can be found by making the expression equal to 0, and then, isolating the variable, so, finding the root we have:

therefore, we have that the root of the polynomial is equal to 2.

we must remember that the number of roots that a polynomial can have, will depend on the degree of the polynomial, a first degree polynomial have will have one single root, a second degree polynomial (quadratic expression) may have two roots and so.

hence the correct option is:

b. a value of the variable that makes the polynomial equal to zero.

have a nice day!

1,407.5 hours

step-by-step explanation:

we first convert all the time to hours and then sum them up.

there are 24 hours in 1 day, in 58 days, there are 24 x 58 = 1,392 hours.

there are 60 minutes in 1 hour, thus, 30 minutes will be equivalent to 30 / 60 = 0.5 hours.

therefore, the number of hours it will take mercury to complete a full rotation is 1,392 + 15 + 0.5 = 1,407.5 hours