hey please help answer these following questions for me.

Question #1) Let's assume we know that 1% of adults over the age of 60 have lung cancer, that 90% of adults who have lung cancer will test positive ( called a true positive), and that 8% of adults that don't have lung cancer will also test positive (called a false positive). what is the probability of actually having lung cancer if an adult test positive for lung cancer?

Question #2) SAVED LOST

MEN 57 116

1ST WOMEN 140 4

CLASS CHILDREN 6 1

2ND MEN 14 135

CLASS WOMEN 80 24

CHILDREN 24 0

3RD MEN 72 385

CLASS WOMEN 74 88

CHILDREN 32 57

CREW & WOMEN 20 0

EMPLOYEE MEN 192 685

NOTE ON Question #2) Given a survivor of the Titanic is a man, what is the probability , rounded to the nearest whole percent, the survivor was second class passenger based on the Titanic Survival DATA above.

Question #3) select all the true statement about the normal probability distribution.

A) The area under the bell curve is 1 exactly.

B) The distribution has one mode and is bell shaped

C) THE random variable takes any value

D) The mean, median, and mode are equal

E) The distribution has one mode and has positive skew.

F) Standardizing an observation of any normal distribution allows the use of the standard normal (Z) distribution tables

G) The random variable does not take any value. it takes discrete values like the binomial distribution

Question #4) How many sequences of 3 things can be formed from 8 different things with replacement things and order is important?

Note: suppose a simple space has things a, b, and c . Twice , draw from the sample space and replace. The possible sequences formed are ( aa, ab, ac, ba, bb, bc , ca , cb , cc).