A family is selected at random from the city. Find the probability that the size of the family is between 2 and 5 inclusive. Round approximations to three decimal places.

And using the table from the info we got:

And replacing we got:

Step-by-step explanation:

For this case we assume that following  table shows the distribution of family size in a certain U.S. city

Family Size Probability

 2                  0.464

 3                  0.212

 4                  0.197

 5                  0.078

 6                  0.030

 7+                0.019

We assume that X represent the random variable "family size"

And for this case we want to find this probability:

And using the table from the info we got:

And replacing we got:

the inequality is:

250c+180g≥950

step-by-step explanation:

let c denotes the number of days in a week   miyoko worked as a cryptographer.

and g denotes the number of days in a week she works as a geologist.

now we are given that she earns $250 for every day she works as a cryptographer,and earns $180 for every day she works as a geologist.

now miyoko's goal is to earn more than $950 this week.

hence, the inequality could be represented as:

250c+180g≥950