Of all vehicles sold by a certain car dealership, 35% are sports cars. From 50 randomly selected vehicle purchases, use the normal distribution to approximate the probability that less than 14 are sports cars. a) 0.1178
b) 0.1497
c) 0.0911
d) 0.1869

a) 0.1178

Step-by-step explanation:

The calculation is shown below:-

Mean = np

= 50 × 0.35

= 17.5

Standard deviation is

=

=

= 3.373

Therefore, as we know that

P which is Less than 14

So,

= P(X < 13.5)

= P(z < (13.5 - 17.5) ÷ 3.373

= P(z < -1.186)

= 0.1178

Hence, the correct option is a. 0.1178

basically we used the above formulas i.e mean and standard deviation

3

step-by-step explanation:

in standard form:

a= dictionaries

b= maps

you have to buy 3 dictionaries, so put a 3 next to the a (dictionaries) so that you can multiply them by each other.

a3+b= 60 (the amount of money you have)

we already know the cost of a=15 so replace a with $15

($15 x 3)+b=60

multiply 15 and 3 to get $45 and replace it with $45

45+b=60

and then replace b with 15 to get the total:

45+15=60

that means you have $15 left after buying 3 dictionaries.

15 divided by the cost of a map ($5) equals 3.

so you can buy 3 maps.

sorry if it was confusing!