Question

Please do step by step ! there are some solutions to this question in here but it doesn't look right to me .

Optical scanner errors. The manufacturer of a price-reading
optical scanner claims that the probability it will misread
the price of any product by misreading the “bar code”
on a product’s label is .001. At the time one of the scanners
was installed in a supermarket, the store manager tested its
performance. Let Y be the number of trials (i.e., the number
of prices read by the scanner) until the first misread
price is observed.
a. If the manufacturer’s claim is correct, find the probability
distribution for Y. (Assume the trials represent independent
events.)
b. If the manufacturer’s claim is correct, what is the probability
that the scanner will not misread a price until
after the fifth price is read?
c. If in fact the third price is misread, what inference would
you make about the manufacturer’s claim? Explain.

Answer 1