Are americans superstitious? a harris (feb. 2013) poll of over 2,000 adult americans was designed to answer this question. one survey item concerned the phrase "see a penny, pick it up, all day long you’ll have good luck." the poll found that about 30 percent of americans believe finding and picking up a penny is good luck. consider a random sample of 20 u. s. adults and let x represent the number who believe finding and picking up a penny is good luck. this is a binomial random variable.

a) find p(x< 10)

b) find p(x> 5)

c) what is the expected number (the mean) who believe picking up a penny is good luck.

Use the following statements to write a compound statement for the conjunction or disjunction. then find its truth value. p: an isosceles triangle has two congruent sides. q: a right angle measures 90° r: four points are always coplanar. s: a decagon has 12 sides. a) a right angle measures 90° or an isosceles triangle has two congruent sides; true. b) a right angle measures 90° and an isosceles triangle has two congruent sides; true. c) a right angle measures 90° and an isosceles triangle does not have two congruent sides; false. d) a right angle measures 90° or an isosceles triangle does not have two congruent sides; true.