John is interested in purchasing a multi-office building containing five offices. the current owner provides the following probability distribution indicating the probability that the given number of offices will be leased each year. number of lease offices 0 1 2 3 4 5 probability 5/18 1/4 1/9 1/18 2/9 1/12 if each yearly lease is $12,000, how much could john expect to collect in yearly leases for the whole building in a given year? (in dollars)
a) e(x) = $23,353.33
b) e(x) = $23,333.33
c) e(x) = $23,273.33
d) e(x) = $23,263.33
e) e(x) = $23,423.33
f) none of the above.

Option B.

Step-by-step explanation:

The given table is:

Number of Lease Offices :  0           1         2       3        4         5

Probability                         : 5/18     1/4     1/9    1/18     2/9      1/12

The expected probability is

Expected probability =

Expected probability =

Expected probability =

It is given that the yearly lease = $12,000.

The yearly leases for the whole building in a given year is

Yearly leases =

Therefore, the correct option is B.

step-by-step explanation:

first, eliminate the parenthesis:

3

x

+

2

−

4

x

second, group like terms:

3

x

−

4

x

+

2

third, combine like terms:

(

3

−

4

)

x

+

2

→

−

1

x

+

2

→

−

x

+

2

answer

a,b, and d

explanation

a reflection angle is more than

but less than;

an angle that measures

is a reflex angle.(true)

an angle that measures less than

is acute.(true)

provided we are considering angles greater or equal to zero.

an acute angle lies in the range.

an obtuse angle is less than 180° but more than 90°

an angle that measures 300° is obtuse (false)

an angle that measures 65° is an acute angle.(true)