<span>Alex is 1.6 m tall
and
Noah is 1.5 times as tall as Alex
= 1.6 m x 1.5 = 2.4m
1 m = 100 cm
2.4 m = 2.4 x 100 = 240 cm
answer
Noah is 240 cm</span>
Answer:
a)
X | 1 3 5 7
f(X) | 0.4 0.2 0.2 0.2
b) 
Step-by-step explanation:
For this case we have defined the cumulative distribution function like this:





And we know that the general definition for the distribution function is given by:

Where f represent the density function.
Part a
For this case we need to find the density function, so we can find the values for the density for each value of X = 1,2,3,4,5,6,7,... since X is a discrete random variable.







And for any value higher than 7 we have that:
![x_i \in [8,9,10,...]](https://tex.z-dn.net/?f=%20x_i%20%5Cin%20%5B8%2C9%2C10%2C...%5D)

So then we have our density function defined like this:
X | 1 3 5 7
f(X) | 0.4 0.2 0.2 0.2
Part b
For this case we want to find this probability 
And since the random variable is discrete we can write this like that:

Answer:
Alan can buy the bike for $109.85
Step-by-step explanation:
Start with 100% and subtract the 35% discount. This results in 65%. The bike sells for 65% of $169, which is calculated as follows:
0.65($169) = $109.85
Alan can buy the bike for $109.85 under the terms of this sale.
4/10 in its simplest form 2/5 or 0.4