A jigsaw puzzle consists of straight edged (including the fo…

A jigsaw puzzle consists of straight edged (including the four corners) and non-straight edged pieces.  When a jigsaw piece is randomly selected from the box, there is about a 12% chance of selecting a straight edged piece.  You take a simple random sample of 6 jigsaw pieces from the box.  Let X = the number of pieces that have a straight edge.  The distribution of X is binomial with n = 6 and p = 0.12.   a. How would you write the distribution of X using symbols?   b. What is the sample space of this distribution?   c. What is the probability of getting 2 or 3 straight edged pieces from the 6 randomly selected pieces?  

A company has the following standards for manufacturing one…

A company has the following standards for manufacturing one unit of its product:•Direct Materials: 60 pounds at $1.50 per pound•Direct Labor: 3 hours at $12 per hour During May, the company had budgeted to produce 1,800 units of its product, but actually only produced 1,650 units.  The following data relate to actual outcomes from May:•The company purchased 114,000 pounds of materials for $188,100. They used all 114,000 pounds of materials in production.•Total direct labor cost amounted to $56,265 for the 5,115 direct labor hours incurred during May. What is the company’s direct materials quantity variance for May?

Calculate the concentration of bicarbonate ion, HCO3-, in a…

Calculate the concentration of bicarbonate ion, HCO3-, in a 0.030 M H2CO3 solution that has the stepwise dissociation constants Ka1 = 4.3 × 10-7 and Ka2 = 5.6 × 10-11.   For the last few problems, partial credit is available if you email me your work immediately after submission.